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Finding the Fourth Proportional to 733,714.60, 1,099,211.10 and 417,231.40

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Solution

The fourth proportional to 733,714.60, 1,099,211.10 and 417,231.40 is: 625,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,714.60 : 1,099,211.10 = 417,231.40 : x
  2. Step 2: Convert to fraction form
    733,714.60/1,099,211.10 = 417,231.40/x
  3. Step 3: Cross multiply
    733,714.60x = 1,099,211.10 × 417,231.40
  4. Step 4: Simplify right side
    733,714.60x = 458,625,386,148.54
  5. Step 5: Solve for x
    x = 458,625,386,148.54/733,714.60
  6. Step 6: Final answer
    x = 625,073.27

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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.