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Finding the Fourth Proportional to 337,468.60, 506,562.90 and 145,438.12

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Solution

The fourth proportional to 337,468.60, 506,562.90 and 145,438.12 is: 218,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,468.60 : 506,562.90 = 145,438.12 : x
  2. Step 2: Convert to fraction form
    337,468.60/506,562.90 = 145,438.12/x
  3. Step 3: Cross multiply
    337,468.60x = 506,562.90 × 145,438.12
  4. Step 4: Simplify right side
    337,468.60x = 73,673,555,837.75
  5. Step 5: Solve for x
    x = 73,673,555,837.75/337,468.60
  6. Step 6: Final answer
    x = 218,312.33

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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.