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Finding the Fourth Proportional to 276,052.60, 413,819.70 and 216,047.80

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Solution

The fourth proportional to 276,052.60, 413,819.70 and 216,047.80 is: 323,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,052.60 : 413,819.70 = 216,047.80 : x
  2. Step 2: Convert to fraction form
    276,052.60/413,819.70 = 216,047.80/x
  3. Step 3: Cross multiply
    276,052.60x = 413,819.70 × 216,047.80
  4. Step 4: Simplify right side
    276,052.60x = 89,404,835,781.66
  5. Step 5: Solve for x
    x = 89,404,835,781.66/276,052.60
  6. Step 6: Final answer
    x = 323,868.84

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Why These Related Problems?

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