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Finding the Fourth Proportional to 325,542.60, 487,730.70 and 288,217.80

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Solution

The fourth proportional to 325,542.60, 487,730.70 and 288,217.80 is: 431,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,542.60 : 487,730.70 = 288,217.80 : x
  2. Step 2: Convert to fraction form
    325,542.60/487,730.70 = 288,217.80/x
  3. Step 3: Cross multiply
    325,542.60x = 487,730.70 × 288,217.80
  4. Step 4: Simplify right side
    325,542.60x = 140,572,669,346.46
  5. Step 5: Solve for x
    x = 140,572,669,346.46/325,542.60
  6. Step 6: Final answer
    x = 431,810.37

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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.