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Finding the Fourth Proportional to 416,658.56, 574,986.13 and 235,429.16

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Solution

The fourth proportional to 416,658.56, 574,986.13 and 235,429.16 is: 324,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,658.56 : 574,986.13 = 235,429.16 : x
  2. Step 2: Convert to fraction form
    416,658.56/574,986.13 = 235,429.16/x
  3. Step 3: Cross multiply
    416,658.56x = 574,986.13 × 235,429.16
  4. Step 4: Simplify right side
    416,658.56x = 135,368,498,134.05
  5. Step 5: Solve for x
    x = 135,368,498,134.05/416,658.56
  6. Step 6: Final answer
    x = 324,890.72

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