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Finding the Fourth Proportional to 462,591.38, 638,182.64 and 360,439.44

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Solution

The fourth proportional to 462,591.38, 638,182.64 and 360,439.44 is: 497,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,591.38 : 638,182.64 = 360,439.44 : x
  2. Step 2: Convert to fraction form
    462,591.38/638,182.64 = 360,439.44/x
  3. Step 3: Cross multiply
    462,591.38x = 638,182.64 × 360,439.44
  4. Step 4: Simplify right side
    462,591.38x = 230,026,191,577.12
  5. Step 5: Solve for x
    x = 230,026,191,577.12/462,591.38
  6. Step 6: Final answer
    x = 497,255.69

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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.