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Finding the Fourth Proportional to 397,458.68, 548,331.12 and 225,340.40

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Solution

The fourth proportional to 397,458.68, 548,331.12 and 225,340.40 is: 310,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,458.68 : 548,331.12 = 225,340.40 : x
  2. Step 2: Convert to fraction form
    397,458.68/548,331.12 = 225,340.40/x
  3. Step 3: Cross multiply
    397,458.68x = 548,331.12 × 225,340.40
  4. Step 4: Simplify right side
    397,458.68x = 123,561,153,913.25
  5. Step 5: Solve for x
    x = 123,561,153,913.25/397,458.68
  6. Step 6: Final answer
    x = 310,877.99

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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.