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Finding the Fourth Proportional to 422,858.27, 634,275.12 and 156,612.89

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Solution

The fourth proportional to 422,858.27, 634,275.12 and 156,612.89 is: 234,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,858.27 : 634,275.12 = 156,612.89 : x
  2. Step 2: Convert to fraction form
    422,858.27/634,275.12 = 156,612.89/x
  3. Step 3: Cross multiply
    422,858.27x = 634,275.12 × 156,612.89
  4. Step 4: Simplify right side
    422,858.27x = 99,335,659,598.30
  5. Step 5: Solve for x
    x = 99,335,659,598.30/422,858.27
  6. Step 6: Final answer
    x = 234,914.79

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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.