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Finding the Fourth Proportional to 420,406.44, 580,173.21 and 229,432.11

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Solution

The fourth proportional to 420,406.44, 580,173.21 and 229,432.11 is: 316,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406.44 : 580,173.21 = 229,432.11 : x
  2. Step 2: Convert to fraction form
    420,406.44/580,173.21 = 229,432.11/x
  3. Step 3: Cross multiply
    420,406.44x = 580,173.21 × 229,432.11
  4. Step 4: Simplify right side
    420,406.44x = 133,110,363,735.77
  5. Step 5: Solve for x
    x = 133,110,363,735.77/420,406.44
  6. Step 6: Final answer
    x = 316,623.04

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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.