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Finding the Fourth Proportional to 377,667.87, 566,294.75 and 149,732.58

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Solution

The fourth proportional to 377,667.87, 566,294.75 and 149,732.58 is: 224,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,667.87 : 566,294.75 = 149,732.58 : x
  2. Step 2: Convert to fraction form
    377,667.87/566,294.75 = 149,732.58/x
  3. Step 3: Cross multiply
    377,667.87x = 566,294.75 × 149,732.58
  4. Step 4: Simplify right side
    377,667.87x = 84,792,773,209.29
  5. Step 5: Solve for x
    x = 84,792,773,209.29/377,667.87
  6. Step 6: Final answer
    x = 224,516.78

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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.