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Finding the Fourth Proportional to 416,183.88, 574,306.63 and 234,871.16

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Solution

The fourth proportional to 416,183.88, 574,306.63 and 234,871.16 is: 324,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,183.88 : 574,306.63 = 234,871.16 : x
  2. Step 2: Convert to fraction form
    416,183.88/574,306.63 = 234,871.16/x
  3. Step 3: Cross multiply
    416,183.88x = 574,306.63 × 234,871.16
  4. Step 4: Simplify right side
    416,183.88x = 134,888,061,650.13
  5. Step 5: Solve for x
    x = 134,888,061,650.13/416,183.88
  6. Step 6: Final answer
    x = 324,106.89

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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.