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Finding the Fourth Proportional to 424,022.31, 636,064.61 and 157,782.78

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Solution

The fourth proportional to 424,022.31, 636,064.61 and 157,782.78 is: 236,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,022.31 : 636,064.61 = 157,782.78 : x
  2. Step 2: Convert to fraction form
    424,022.31/636,064.61 = 157,782.78/x
  3. Step 3: Cross multiply
    424,022.31x = 636,064.61 × 157,782.78
  4. Step 4: Simplify right side
    424,022.31x = 100,360,041,636.50
  5. Step 5: Solve for x
    x = 100,360,041,636.50/424,022.31
  6. Step 6: Final answer
    x = 236,685.76

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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.