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Finding the Fourth Proportional to 642,007.60, 963,011.40 and 310,231.60

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Solution

The fourth proportional to 642,007.60, 963,011.40 and 310,231.60 is: 465,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,007.60 : 963,011.40 = 310,231.60 : x
  2. Step 2: Convert to fraction form
    642,007.60/963,011.40 = 310,231.60/x
  3. Step 3: Cross multiply
    642,007.60x = 963,011.40 × 310,231.60
  4. Step 4: Simplify right side
    642,007.60x = 298,756,567,440.24
  5. Step 5: Solve for x
    x = 298,756,567,440.24/642,007.60
  6. Step 6: Final answer
    x = 465,347.40

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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.