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Finding the Fourth Proportional to 506,363.46, 698,146.47 and 324,754.98

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Solution

The fourth proportional to 506,363.46, 698,146.47 and 324,754.98 is: 447,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,363.46 : 698,146.47 = 324,754.98 : x
  2. Step 2: Convert to fraction form
    506,363.46/698,146.47 = 324,754.98/x
  3. Step 3: Cross multiply
    506,363.46x = 698,146.47 × 324,754.98
  4. Step 4: Simplify right side
    506,363.46x = 226,726,542,901.92
  5. Step 5: Solve for x
    x = 226,726,542,901.92/506,363.46
  6. Step 6: Final answer
    x = 447,754.55

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