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Finding the Fourth Proportional to 420,558.48, 580,354.20 and 229,571.64

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Solution

The fourth proportional to 420,558.48, 580,354.20 and 229,571.64 is: 316,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,558.48 : 580,354.20 = 229,571.64 : x
  2. Step 2: Convert to fraction form
    420,558.48/580,354.20 = 229,571.64/x
  3. Step 3: Cross multiply
    420,558.48x = 580,354.20 × 229,571.64
  4. Step 4: Simplify right side
    420,558.48x = 133,232,865,474.89
  5. Step 5: Solve for x
    x = 133,232,865,474.89/420,558.48
  6. Step 6: Final answer
    x = 316,799.85

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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.