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Finding the Fourth Proportional to 383,717.10, 575,247.42 and 147,229.50

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Solution

The fourth proportional to 383,717.10, 575,247.42 and 147,229.50 is: 220,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,717.10 : 575,247.42 = 147,229.50 : x
  2. Step 2: Convert to fraction form
    383,717.10/575,247.42 = 147,229.50/x
  3. Step 3: Cross multiply
    383,717.10x = 575,247.42 × 147,229.50
  4. Step 4: Simplify right side
    383,717.10x = 84,693,390,022.89
  5. Step 5: Solve for x
    x = 84,693,390,022.89/383,717.10
  6. Step 6: Final answer
    x = 220,718.31

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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.