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Finding the Fourth Proportional to 474,327.06, 711,319.20 and 158,710.14

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Solution

The fourth proportional to 474,327.06, 711,319.20 and 158,710.14 is: 238,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,327.06 : 711,319.20 = 158,710.14 : x
  2. Step 2: Convert to fraction form
    474,327.06/711,319.20 = 158,710.14/x
  3. Step 3: Cross multiply
    474,327.06x = 711,319.20 × 158,710.14
  4. Step 4: Simplify right side
    474,327.06x = 112,893,569,816.69
  5. Step 5: Solve for x
    x = 112,893,569,816.69/474,327.06
  6. Step 6: Final answer
    x = 238,007.86

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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.