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Finding the Fourth Proportional to 506,293.97, 698,356.49 and 324,718.29

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Solution

The fourth proportional to 506,293.97, 698,356.49 and 324,718.29 is: 447,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,293.97 : 698,356.49 = 324,718.29 : x
  2. Step 2: Convert to fraction form
    506,293.97/698,356.49 = 324,718.29/x
  3. Step 3: Cross multiply
    506,293.97x = 698,356.49 × 324,718.29
  4. Step 4: Simplify right side
    506,293.97x = 226,769,123,619.61
  5. Step 5: Solve for x
    x = 226,769,123,619.61/506,293.97
  6. Step 6: Final answer
    x = 447,900.11

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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.