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Finding the Fourth Proportional to 420,409.44, 580,177.26 and 229,435.14

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Solution

The fourth proportional to 420,409.44, 580,177.26 and 229,435.14 is: 316,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,409.44 : 580,177.26 = 229,435.14 : x
  2. Step 2: Convert to fraction form
    420,409.44/580,177.26 = 229,435.14/x
  3. Step 3: Cross multiply
    420,409.44x = 580,177.26 × 229,435.14
  4. Step 4: Simplify right side
    420,409.44x = 133,113,050,872.92
  5. Step 5: Solve for x
    x = 133,113,050,872.92/420,409.44
  6. Step 6: Final answer
    x = 316,627.17

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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.