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Finding the Fourth Proportional to 337,546.63, 506,459.67 and 147,909.16

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Solution

The fourth proportional to 337,546.63, 506,459.67 and 147,909.16 is: 221,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,546.63 : 506,459.67 = 147,909.16 : x
  2. Step 2: Convert to fraction form
    337,546.63/506,459.67 = 147,909.16/x
  3. Step 3: Cross multiply
    337,546.63x = 506,459.67 × 147,909.16
  4. Step 4: Simplify right side
    337,546.63x = 74,910,024,363.58
  5. Step 5: Solve for x
    x = 74,910,024,363.58/337,546.63
  6. Step 6: Final answer
    x = 221,924.97

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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.