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Finding the Fourth Proportional to 442,863.20, 664,294.80 and 176,486.60

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Solution

The fourth proportional to 442,863.20, 664,294.80 and 176,486.60 is: 264,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,863.20 : 664,294.80 = 176,486.60 : x
  2. Step 2: Convert to fraction form
    442,863.20/664,294.80 = 176,486.60/x
  3. Step 3: Cross multiply
    442,863.20x = 664,294.80 × 176,486.60
  4. Step 4: Simplify right side
    442,863.20x = 117,239,130,649.68
  5. Step 5: Solve for x
    x = 117,239,130,649.68/442,863.20
  6. Step 6: Final answer
    x = 264,729.90

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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.