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Finding the Fourth Proportional to 642,406.20, 963,609.30 and 193,196.40

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Solution

The fourth proportional to 642,406.20, 963,609.30 and 193,196.40 is: 289,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,406.20 : 963,609.30 = 193,196.40 : x
  2. Step 2: Convert to fraction form
    642,406.20/963,609.30 = 193,196.40/x
  3. Step 3: Cross multiply
    642,406.20x = 963,609.30 × 193,196.40
  4. Step 4: Simplify right side
    642,406.20x = 186,165,847,766.52
  5. Step 5: Solve for x
    x = 186,165,847,766.52/642,406.20
  6. Step 6: Final answer
    x = 289,794.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.