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Finding the Fourth Proportional to 497,777.98, 746,777.52 and 142,764.70

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Solution

The fourth proportional to 497,777.98, 746,777.52 and 142,764.70 is: 214,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,777.98 : 746,777.52 = 142,764.70 : x
  2. Step 2: Convert to fraction form
    497,777.98/746,777.52 = 142,764.70/x
  3. Step 3: Cross multiply
    497,777.98x = 746,777.52 × 142,764.70
  4. Step 4: Simplify right side
    497,777.98x = 106,613,468,609.54
  5. Step 5: Solve for x
    x = 106,613,468,609.54/497,777.98
  6. Step 6: Final answer
    x = 214,178.76

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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.