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Finding the Fourth Proportional to 514,943.92, 710,583.42 and 288,545.68

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Solution

The fourth proportional to 514,943.92, 710,583.42 and 288,545.68 is: 398,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,943.92 : 710,583.42 = 288,545.68 : x
  2. Step 2: Convert to fraction form
    514,943.92/710,583.42 = 288,545.68/x
  3. Step 3: Cross multiply
    514,943.92x = 710,583.42 × 288,545.68
  4. Step 4: Simplify right side
    514,943.92x = 205,035,776,120.63
  5. Step 5: Solve for x
    x = 205,035,776,120.63/514,943.92
  6. Step 6: Final answer
    x = 398,171.08

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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.