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Finding the Fourth Proportional to 392,023.80, 587,430.90 and 291,713.40

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Solution

The fourth proportional to 392,023.80, 587,430.90 and 291,713.40 is: 437,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,023.80 : 587,430.90 = 291,713.40 : x
  2. Step 2: Convert to fraction form
    392,023.80/587,430.90 = 291,713.40/x
  3. Step 3: Cross multiply
    392,023.80x = 587,430.90 × 291,713.40
  4. Step 4: Simplify right side
    392,023.80x = 171,361,465,104.06
  5. Step 5: Solve for x
    x = 171,361,465,104.06/392,023.80
  6. Step 6: Final answer
    x = 437,120.06

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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.