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Finding the Fourth Proportional to 474,789.06, 712,290.24 and 159,237.90

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Solution

The fourth proportional to 474,789.06, 712,290.24 and 159,237.90 is: 238,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,789.06 : 712,290.24 = 159,237.90 : x
  2. Step 2: Convert to fraction form
    474,789.06/712,290.24 = 159,237.90/x
  3. Step 3: Cross multiply
    474,789.06x = 712,290.24 × 159,237.90
  4. Step 4: Simplify right side
    474,789.06x = 113,423,602,008.10
  5. Step 5: Solve for x
    x = 113,423,602,008.10/474,789.06
  6. Step 6: Final answer
    x = 238,892.62

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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.