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Finding the Fourth Proportional to 416,412.53, 574,644.52 and 225,421.73

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Solution

The fourth proportional to 416,412.53, 574,644.52 and 225,421.73 is: 311,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,412.53 : 574,644.52 = 225,421.73 : x
  2. Step 2: Convert to fraction form
    416,412.53/574,644.52 = 225,421.73/x
  3. Step 3: Cross multiply
    416,412.53x = 574,644.52 × 225,421.73
  4. Step 4: Simplify right side
    416,412.53x = 129,537,361,833.42
  5. Step 5: Solve for x
    x = 129,537,361,833.42/416,412.53
  6. Step 6: Final answer
    x = 311,079.40

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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.