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Finding the Fourth Proportional to 361,472.76, 542,357.73 and 158,964.66

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Solution

The fourth proportional to 361,472.76, 542,357.73 and 158,964.66 is: 238,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,472.76 : 542,357.73 = 158,964.66 : x
  2. Step 2: Convert to fraction form
    361,472.76/542,357.73 = 158,964.66/x
  3. Step 3: Cross multiply
    361,472.76x = 542,357.73 × 158,964.66
  4. Step 4: Simplify right side
    361,472.76x = 86,215,712,147.82
  5. Step 5: Solve for x
    x = 86,215,712,147.82/361,472.76
  6. Step 6: Final answer
    x = 238,512.34

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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.