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Finding the Fourth Proportional to 614,929.38, 922,344.84 and 273,478.53

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Solution

The fourth proportional to 614,929.38, 922,344.84 and 273,478.53 is: 410,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,929.38 : 922,344.84 = 273,478.53 : x
  2. Step 2: Convert to fraction form
    614,929.38/922,344.84 = 273,478.53/x
  3. Step 3: Cross multiply
    614,929.38x = 922,344.84 × 273,478.53
  4. Step 4: Simplify right side
    614,929.38x = 252,241,510,996.29
  5. Step 5: Solve for x
    x = 252,241,510,996.29/614,929.38
  6. Step 6: Final answer
    x = 410,195.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.