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Finding the Fourth Proportional to 442,867.80, 664,301.70 and 402,778.20

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Solution

The fourth proportional to 442,867.80, 664,301.70 and 402,778.20 is: 604,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,867.80 : 664,301.70 = 402,778.20 : x
  2. Step 2: Convert to fraction form
    442,867.80/664,301.70 = 402,778.20/x
  3. Step 3: Cross multiply
    442,867.80x = 664,301.70 × 402,778.20
  4. Step 4: Simplify right side
    442,867.80x = 267,566,242,982.94
  5. Step 5: Solve for x
    x = 267,566,242,982.94/442,867.80
  6. Step 6: Final answer
    x = 604,167.30

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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.