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Finding the Fourth Proportional to 442,892.10, 664,338.15 and 293,301.30

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Solution

The fourth proportional to 442,892.10, 664,338.15 and 293,301.30 is: 439,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,892.10 : 664,338.15 = 293,301.30 : x
  2. Step 2: Convert to fraction form
    442,892.10/664,338.15 = 293,301.30/x
  3. Step 3: Cross multiply
    442,892.10x = 664,338.15 × 293,301.30
  4. Step 4: Simplify right side
    442,892.10x = 194,851,243,034.60
  5. Step 5: Solve for x
    x = 194,851,243,034.60/442,892.10
  6. Step 6: Final answer
    x = 439,951.95

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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.