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Finding the Fourth Proportional to 298,819.13, 448,316.47 and 88,462.53

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Solution

The fourth proportional to 298,819.13, 448,316.47 and 88,462.53 is: 132,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,819.13 : 448,316.47 = 88,462.53 : x
  2. Step 2: Convert to fraction form
    298,819.13/448,316.47 = 88,462.53/x
  3. Step 3: Cross multiply
    298,819.13x = 448,316.47 × 88,462.53
  4. Step 4: Simplify right side
    298,819.13x = 39,659,209,287.45
  5. Step 5: Solve for x
    x = 39,659,209,287.45/298,819.13
  6. Step 6: Final answer
    x = 132,719.78

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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.