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Finding the Fourth Proportional to 383,714.10, 575,242.92 and 147,226.50

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Solution

The fourth proportional to 383,714.10, 575,242.92 and 147,226.50 is: 220,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714.10 : 575,242.92 = 147,226.50 : x
  2. Step 2: Convert to fraction form
    383,714.10/575,242.92 = 147,226.50/x
  3. Step 3: Cross multiply
    383,714.10x = 575,242.92 × 147,226.50
  4. Step 4: Simplify right side
    383,714.10x = 84,691,001,761.38
  5. Step 5: Solve for x
    x = 84,691,001,761.38/383,714.10
  6. Step 6: Final answer
    x = 220,713.81

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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.