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Finding the Fourth Proportional to 420,549.92, 580,367.04 and 229,580

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Solution

The fourth proportional to 420,549.92, 580,367.04 and 229,580 is: 316,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,549.92 : 580,367.04 = 229,580 : x
  2. Step 2: Convert to fraction form
    420,549.92/580,367.04 = 229,580/x
  3. Step 3: Cross multiply
    420,549.92x = 580,367.04 × 229,580
  4. Step 4: Simplify right side
    420,549.92x = 133,240,665,043.20
  5. Step 5: Solve for x
    x = 133,240,665,043.20/420,549.92
  6. Step 6: Final answer
    x = 316,824.85

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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.