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Finding the Fourth Proportional to 424,714.14, 637,181.47 and 158,476.66

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Solution

The fourth proportional to 424,714.14, 637,181.47 and 158,476.66 is: 237,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,714.14 : 637,181.47 = 158,476.66 : x
  2. Step 2: Convert to fraction form
    424,714.14/637,181.47 = 158,476.66/x
  3. Step 3: Cross multiply
    424,714.14x = 637,181.47 × 158,476.66
  4. Step 4: Simplify right side
    424,714.14x = 100,978,391,179.49
  5. Step 5: Solve for x
    x = 100,978,391,179.49/424,714.14
  6. Step 6: Final answer
    x = 237,756.13

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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.