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Finding the Fourth Proportional to 420,400.44, 580,164.84 and 229,426.14

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Solution

The fourth proportional to 420,400.44, 580,164.84 and 229,426.14 is: 316,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,400.44 : 580,164.84 = 229,426.14 : x
  2. Step 2: Convert to fraction form
    420,400.44/580,164.84 = 229,426.14/x
  3. Step 3: Cross multiply
    420,400.44x = 580,164.84 × 229,426.14
  4. Step 4: Simplify right side
    420,400.44x = 133,104,979,804.92
  5. Step 5: Solve for x
    x = 133,104,979,804.92/420,400.44
  6. Step 6: Final answer
    x = 316,614.75

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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.