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Finding the Fourth Proportional to 424,416, 636,488.75 and 140,053.55

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Solution

The fourth proportional to 424,416, 636,488.75 and 140,053.55 is: 210,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,416 : 636,488.75 = 140,053.55 : x
  2. Step 2: Convert to fraction form
    424,416/636,488.75 = 140,053.55/x
  3. Step 3: Cross multiply
    424,416x = 636,488.75 × 140,053.55
  4. Step 4: Simplify right side
    424,416x = 89,142,508,972.56
  5. Step 5: Solve for x
    x = 89,142,508,972.56/424,416
  6. Step 6: Final answer
    x = 210,035.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.