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Finding the Fourth Proportional to 276,057.60, 413,827.20 and 216,052.80

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Solution

The fourth proportional to 276,057.60, 413,827.20 and 216,052.80 is: 323,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,057.60 : 413,827.20 = 216,052.80 : x
  2. Step 2: Convert to fraction form
    276,057.60/413,827.20 = 216,052.80/x
  3. Step 3: Cross multiply
    276,057.60x = 413,827.20 × 216,052.80
  4. Step 4: Simplify right side
    276,057.60x = 89,408,525,276.16
  5. Step 5: Solve for x
    x = 89,408,525,276.16/276,057.60
  6. Step 6: Final answer
    x = 323,876.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.