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Finding the Fourth Proportional to 431,251.60, 646,877.40 and 194,861.20

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Solution

The fourth proportional to 431,251.60, 646,877.40 and 194,861.20 is: 292,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,251.60 : 646,877.40 = 194,861.20 : x
  2. Step 2: Convert to fraction form
    431,251.60/646,877.40 = 194,861.20/x
  3. Step 3: Cross multiply
    431,251.60x = 646,877.40 × 194,861.20
  4. Step 4: Simplify right side
    431,251.60x = 126,051,306,416.88
  5. Step 5: Solve for x
    x = 126,051,306,416.88/431,251.60
  6. Step 6: Final answer
    x = 292,291.80

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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.