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Finding the Fourth Proportional to 461,034, 636,238.17 and 257,082.93

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Solution

The fourth proportional to 461,034, 636,238.17 and 257,082.93 is: 354,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,034 : 636,238.17 = 257,082.93 : x
  2. Step 2: Convert to fraction form
    461,034/636,238.17 = 257,082.93/x
  3. Step 3: Cross multiply
    461,034x = 636,238.17 × 257,082.93
  4. Step 4: Simplify right side
    461,034x = 163,565,972,921.44
  5. Step 5: Solve for x
    x = 163,565,972,921.44/461,034
  6. Step 6: Final answer
    x = 354,780.72

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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.