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Finding the Fourth Proportional to 461,704.89, 635,731.55 and 393,569.13

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Solution

The fourth proportional to 461,704.89, 635,731.55 and 393,569.13 is: 541,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,704.89 : 635,731.55 = 393,569.13 : x
  2. Step 2: Convert to fraction form
    461,704.89/635,731.55 = 393,569.13/x
  3. Step 3: Cross multiply
    461,704.89x = 635,731.55 × 393,569.13
  4. Step 4: Simplify right side
    461,704.89x = 250,204,311,079.21
  5. Step 5: Solve for x
    x = 250,204,311,079.21/461,704.89
  6. Step 6: Final answer
    x = 541,913.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.