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Finding the Fourth Proportional to 493,726.40, 740,615.14 and 156,793.36

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Solution

The fourth proportional to 493,726.40, 740,615.14 and 156,793.36 is: 235,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,726.40 : 740,615.14 = 156,793.36 : x
  2. Step 2: Convert to fraction form
    493,726.40/740,615.14 = 156,793.36/x
  3. Step 3: Cross multiply
    493,726.40x = 740,615.14 × 156,793.36
  4. Step 4: Simplify right side
    493,726.40x = 116,123,536,267.47
  5. Step 5: Solve for x
    x = 116,123,536,267.47/493,726.40
  6. Step 6: Final answer
    x = 235,198.15

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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.