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Finding the Fourth Proportional to 337,806, 506,709 and 127,394.73

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Solution

The fourth proportional to 337,806, 506,709 and 127,394.73 is: 191,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,806 : 506,709 = 127,394.73 : x
  2. Step 2: Convert to fraction form
    337,806/506,709 = 127,394.73/x
  3. Step 3: Cross multiply
    337,806x = 506,709 × 127,394.73
  4. Step 4: Simplify right side
    337,806x = 64,552,056,243.57
  5. Step 5: Solve for x
    x = 64,552,056,243.57/337,806
  6. Step 6: Final answer
    x = 191,092.10

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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.