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Finding the Fourth Proportional to 474,469.60, 711,730.32 and 158,897.92

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Solution

The fourth proportional to 474,469.60, 711,730.32 and 158,897.92 is: 238,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,469.60 : 711,730.32 = 158,897.92 : x
  2. Step 2: Convert to fraction form
    474,469.60/711,730.32 = 158,897.92/x
  3. Step 3: Cross multiply
    474,469.60x = 711,730.32 × 158,897.92
  4. Step 4: Simplify right side
    474,469.60x = 113,092,467,448.93
  5. Step 5: Solve for x
    x = 113,092,467,448.93/474,469.60
  6. Step 6: Final answer
    x = 238,355.56

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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.