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Finding the Fourth Proportional to 437,233.14, 655,873.17 and 137,737.16

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Solution

The fourth proportional to 437,233.14, 655,873.17 and 137,737.16 is: 206,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,233.14 : 655,873.17 = 137,737.16 : x
  2. Step 2: Convert to fraction form
    437,233.14/655,873.17 = 137,737.16/x
  3. Step 3: Cross multiply
    437,233.14x = 655,873.17 × 137,737.16
  4. Step 4: Simplify right side
    437,233.14x = 90,338,106,419.64
  5. Step 5: Solve for x
    x = 90,338,106,419.64/437,233.14
  6. Step 6: Final answer
    x = 206,613.13

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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.