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Finding the Fourth Proportional to 420,432.36, 580,198.28 and 229,450

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Solution

The fourth proportional to 420,432.36, 580,198.28 and 229,450 is: 316,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,432.36 : 580,198.28 = 229,450 : x
  2. Step 2: Convert to fraction form
    420,432.36/580,198.28 = 229,450/x
  3. Step 3: Cross multiply
    420,432.36x = 580,198.28 × 229,450
  4. Step 4: Simplify right side
    420,432.36x = 133,126,495,346
  5. Step 5: Solve for x
    x = 133,126,495,346/420,432.36
  6. Step 6: Final answer
    x = 316,641.89

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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.