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Finding the Fourth Proportional to 416,256.68, 574,434.18 and 225,270.12

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Solution

The fourth proportional to 416,256.68, 574,434.18 and 225,270.12 is: 310,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,256.68 : 574,434.18 = 225,270.12 : x
  2. Step 2: Convert to fraction form
    416,256.68/574,434.18 = 225,270.12/x
  3. Step 3: Cross multiply
    416,256.68x = 574,434.18 × 225,270.12
  4. Step 4: Simplify right side
    416,256.68x = 129,402,856,660.70
  5. Step 5: Solve for x
    x = 129,402,856,660.70/416,256.68
  6. Step 6: Final answer
    x = 310,872.74

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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.