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Finding the Fourth Proportional to 424,574.27, 636,840.64 and 158,314.02

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Solution

The fourth proportional to 424,574.27, 636,840.64 and 158,314.02 is: 237,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,574.27 : 636,840.64 = 158,314.02 : x
  2. Step 2: Convert to fraction form
    424,574.27/636,840.64 = 158,314.02/x
  3. Step 3: Cross multiply
    424,574.27x = 636,840.64 × 158,314.02
  4. Step 4: Simplify right side
    424,574.27x = 100,820,801,817.77
  5. Step 5: Solve for x
    x = 100,820,801,817.77/424,574.27
  6. Step 6: Final answer
    x = 237,463.29

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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.