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Finding the Fourth Proportional to 442,877.20, 664,402.20 and 190,157.20

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Solution

The fourth proportional to 442,877.20, 664,402.20 and 190,157.20 is: 285,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,877.20 : 664,402.20 = 190,157.20 : x
  2. Step 2: Convert to fraction form
    442,877.20/664,402.20 = 190,157.20/x
  3. Step 3: Cross multiply
    442,877.20x = 664,402.20 × 190,157.20
  4. Step 4: Simplify right side
    442,877.20x = 126,340,862,025.84
  5. Step 5: Solve for x
    x = 126,340,862,025.84/442,877.20
  6. Step 6: Final answer
    x = 285,272.90

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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.