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Finding the Fourth Proportional to 337,394.63, 506,341.13 and 159,902.17

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Solution

The fourth proportional to 337,394.63, 506,341.13 and 159,902.17 is: 239,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,394.63 : 506,341.13 = 159,902.17 : x
  2. Step 2: Convert to fraction form
    337,394.63/506,341.13 = 159,902.17/x
  3. Step 3: Cross multiply
    337,394.63x = 506,341.13 × 159,902.17
  4. Step 4: Simplify right side
    337,394.63x = 80,965,043,381.89
  5. Step 5: Solve for x
    x = 80,965,043,381.89/337,394.63
  6. Step 6: Final answer
    x = 239,971.34

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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.