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Finding the Fourth Proportional to 420,399.20, 580,146.12 and 229,415.84

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Solution

The fourth proportional to 420,399.20, 580,146.12 and 229,415.84 is: 316,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,399.20 : 580,146.12 = 229,415.84 : x
  2. Step 2: Convert to fraction form
    420,399.20/580,146.12 = 229,415.84/x
  3. Step 3: Cross multiply
    420,399.20x = 580,146.12 × 229,415.84
  4. Step 4: Simplify right side
    420,399.20x = 133,094,709,442.54
  5. Step 5: Solve for x
    x = 133,094,709,442.54/420,399.20
  6. Step 6: Final answer
    x = 316,591.25

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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.