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Finding the Fourth Proportional to 442,165.46, 610,015.12 and 272,104.34

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Solution

The fourth proportional to 442,165.46, 610,015.12 and 272,104.34 is: 375,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,165.46 : 610,015.12 = 272,104.34 : x
  2. Step 2: Convert to fraction form
    442,165.46/610,015.12 = 272,104.34/x
  3. Step 3: Cross multiply
    442,165.46x = 610,015.12 × 272,104.34
  4. Step 4: Simplify right side
    442,165.46x = 165,987,757,887.28
  5. Step 5: Solve for x
    x = 165,987,757,887.28/442,165.46
  6. Step 6: Final answer
    x = 375,397.39

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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.