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Finding the Fourth Proportional to 420,411.44, 580,180.02 and 229,437.14

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Solution

The fourth proportional to 420,411.44, 580,180.02 and 229,437.14 is: 316,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,411.44 : 580,180.02 = 229,437.14 : x
  2. Step 2: Convert to fraction form
    420,411.44/580,180.02 = 229,437.14/x
  3. Step 3: Cross multiply
    420,411.44x = 580,180.02 × 229,437.14
  4. Step 4: Simplify right side
    420,411.44x = 133,114,844,473.94
  5. Step 5: Solve for x
    x = 133,114,844,473.94/420,411.44
  6. Step 6: Final answer
    x = 316,629.93

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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.