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Finding the Fourth Proportional to 390,414.08, 585,227.46 and 296,723

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Solution

The fourth proportional to 390,414.08, 585,227.46 and 296,723 is: 444,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,414.08 : 585,227.46 = 296,723 : x
  2. Step 2: Convert to fraction form
    390,414.08/585,227.46 = 296,723/x
  3. Step 3: Cross multiply
    390,414.08x = 585,227.46 × 296,723
  4. Step 4: Simplify right side
    390,414.08x = 173,650,447,613.58
  5. Step 5: Solve for x
    x = 173,650,447,613.58/390,414.08
  6. Step 6: Final answer
    x = 444,785.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.