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Finding the Fourth Proportional to 415,114.20, 572,687.64 and 306,478.44

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Solution

The fourth proportional to 415,114.20, 572,687.64 and 306,478.44 is: 422,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,114.20 : 572,687.64 = 306,478.44 : x
  2. Step 2: Convert to fraction form
    415,114.20/572,687.64 = 306,478.44/x
  3. Step 3: Cross multiply
    415,114.20x = 572,687.64 × 306,478.44
  4. Step 4: Simplify right side
    415,114.20x = 175,516,414,514.48
  5. Step 5: Solve for x
    x = 175,516,414,514.48/415,114.20
  6. Step 6: Final answer
    x = 422,814.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.