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Finding the Fourth Proportional to 642,410.70, 963,616.05 and 193,200.90

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Solution

The fourth proportional to 642,410.70, 963,616.05 and 193,200.90 is: 289,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,410.70 : 963,616.05 = 193,200.90 : x
  2. Step 2: Convert to fraction form
    642,410.70/963,616.05 = 193,200.90/x
  3. Step 3: Cross multiply
    642,410.70x = 963,616.05 × 193,200.90
  4. Step 4: Simplify right side
    642,410.70x = 186,171,488,114.45
  5. Step 5: Solve for x
    x = 186,171,488,114.45/642,410.70
  6. Step 6: Final answer
    x = 289,801.35

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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.