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Finding the Fourth Proportional to 506,294.47, 698,357.18 and 324,718.79

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Solution

The fourth proportional to 506,294.47, 698,357.18 and 324,718.79 is: 447,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,294.47 : 698,357.18 = 324,718.79 : x
  2. Step 2: Convert to fraction form
    506,294.47/698,357.18 = 324,718.79/x
  3. Step 3: Cross multiply
    506,294.47x = 698,357.18 × 324,718.79
  4. Step 4: Simplify right side
    506,294.47x = 226,769,696,853.82
  5. Step 5: Solve for x
    x = 226,769,696,853.82/506,294.47
  6. Step 6: Final answer
    x = 447,900.80

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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.