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Finding the Fourth Proportional to 323,416.80, 485,125.20 and 272,095.20

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Solution

The fourth proportional to 323,416.80, 485,125.20 and 272,095.20 is: 408,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,416.80 : 485,125.20 = 272,095.20 : x
  2. Step 2: Convert to fraction form
    323,416.80/485,125.20 = 272,095.20/x
  3. Step 3: Cross multiply
    323,416.80x = 485,125.20 × 272,095.20
  4. Step 4: Simplify right side
    323,416.80x = 132,000,238,319.04
  5. Step 5: Solve for x
    x = 132,000,238,319.04/323,416.80
  6. Step 6: Final answer
    x = 408,142.80

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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.