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Finding the Fourth Proportional to 514,949.92, 710,591.70 and 288,551.68

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Solution

The fourth proportional to 514,949.92, 710,591.70 and 288,551.68 is: 398,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,949.92 : 710,591.70 = 288,551.68 : x
  2. Step 2: Convert to fraction form
    514,949.92/710,591.70 = 288,551.68/x
  3. Step 3: Cross multiply
    514,949.92x = 710,591.70 × 288,551.68
  4. Step 4: Simplify right side
    514,949.92x = 205,042,428,829.06
  5. Step 5: Solve for x
    x = 205,042,428,829.06/514,949.92
  6. Step 6: Final answer
    x = 398,179.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.