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Finding the Fourth Proportional to 461,026.56, 635,858.91 and 409,397.97

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Solution

The fourth proportional to 461,026.56, 635,858.91 and 409,397.97 is: 564,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,026.56 : 635,858.91 = 409,397.97 : x
  2. Step 2: Convert to fraction form
    461,026.56/635,858.91 = 409,397.97/x
  3. Step 3: Cross multiply
    461,026.56x = 635,858.91 × 409,397.97
  4. Step 4: Simplify right side
    461,026.56x = 260,319,346,960.41
  5. Step 5: Solve for x
    x = 260,319,346,960.41/461,026.56
  6. Step 6: Final answer
    x = 564,651.52

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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.