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Finding the Fourth Proportional to 406,036.92, 608,845.52 and 178,239.30

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Solution

The fourth proportional to 406,036.92, 608,845.52 and 178,239.30 is: 267,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,036.92 : 608,845.52 = 178,239.30 : x
  2. Step 2: Convert to fraction form
    406,036.92/608,845.52 = 178,239.30/x
  3. Step 3: Cross multiply
    406,036.92x = 608,845.52 × 178,239.30
  4. Step 4: Simplify right side
    406,036.92x = 108,520,198,401.74
  5. Step 5: Solve for x
    x = 108,520,198,401.74/406,036.92
  6. Step 6: Final answer
    x = 267,266.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.