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Finding the Fourth Proportional to 337,346.97, 506,185.38 and 147,781.45

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Solution

The fourth proportional to 337,346.97, 506,185.38 and 147,781.45 is: 221,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,346.97 : 506,185.38 = 147,781.45 : x
  2. Step 2: Convert to fraction form
    337,346.97/506,185.38 = 147,781.45/x
  3. Step 3: Cross multiply
    337,346.97x = 506,185.38 × 147,781.45
  4. Step 4: Simplify right side
    337,346.97x = 74,804,809,425.20
  5. Step 5: Solve for x
    x = 74,804,809,425.20/337,346.97
  6. Step 6: Final answer
    x = 221,744.42

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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.