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Finding the Fourth Proportional to 541,642.11, 748,244.70 and 432,603.29

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Solution

The fourth proportional to 541,642.11, 748,244.70 and 432,603.29 is: 597,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,642.11 : 748,244.70 = 432,603.29 : x
  2. Step 2: Convert to fraction form
    541,642.11/748,244.70 = 432,603.29/x
  3. Step 3: Cross multiply
    541,642.11x = 748,244.70 × 432,603.29
  4. Step 4: Simplify right side
    541,642.11x = 323,693,115,203.84
  5. Step 5: Solve for x
    x = 323,693,115,203.84/541,642.11
  6. Step 6: Final answer
    x = 597,614.38

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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.