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Finding the Fourth Proportional to 424,714.89, 637,182.59 and 158,477.41

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Solution

The fourth proportional to 424,714.89, 637,182.59 and 158,477.41 is: 237,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,714.89 : 637,182.59 = 158,477.41 : x
  2. Step 2: Convert to fraction form
    424,714.89/637,182.59 = 158,477.41/x
  3. Step 3: Cross multiply
    424,714.89x = 637,182.59 × 158,477.41
  4. Step 4: Simplify right side
    424,714.89x = 100,979,046,560.29
  5. Step 5: Solve for x
    x = 100,979,046,560.29/424,714.89
  6. Step 6: Final answer
    x = 237,757.26

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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.