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Finding the Fourth Proportional to 443,407.20, 664,981.20 and 159,064.80

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Solution

The fourth proportional to 443,407.20, 664,981.20 and 159,064.80 is: 238,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,407.20 : 664,981.20 = 159,064.80 : x
  2. Step 2: Convert to fraction form
    443,407.20/664,981.20 = 159,064.80/x
  3. Step 3: Cross multiply
    443,407.20x = 664,981.20 × 159,064.80
  4. Step 4: Simplify right side
    443,407.20x = 105,775,101,581.76
  5. Step 5: Solve for x
    x = 105,775,101,581.76/443,407.20
  6. Step 6: Final answer
    x = 238,550.71

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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.