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Finding the Fourth Proportional to 416,442.30, 574,637.57 and 244,297.46

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Solution

The fourth proportional to 416,442.30, 574,637.57 and 244,297.46 is: 337,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,442.30 : 574,637.57 = 244,297.46 : x
  2. Step 2: Convert to fraction form
    416,442.30/574,637.57 = 244,297.46/x
  3. Step 3: Cross multiply
    416,442.30x = 574,637.57 × 244,297.46
  4. Step 4: Simplify right side
    416,442.30x = 140,382,495,898.38
  5. Step 5: Solve for x
    x = 140,382,495,898.38/416,442.30
  6. Step 6: Final answer
    x = 337,099.51

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Why These Related Problems?

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