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Finding the Fourth Proportional to 297,819.60, 447,247.80 and 157,851.60

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Solution

The fourth proportional to 297,819.60, 447,247.80 and 157,851.60 is: 237,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,819.60 : 447,247.80 = 157,851.60 : x
  2. Step 2: Convert to fraction form
    297,819.60/447,247.80 = 157,851.60/x
  3. Step 3: Cross multiply
    297,819.60x = 447,247.80 × 157,851.60
  4. Step 4: Simplify right side
    297,819.60x = 70,598,780,826.48
  5. Step 5: Solve for x
    x = 70,598,780,826.48/297,819.60
  6. Step 6: Final answer
    x = 237,052.16

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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.