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Finding the Fourth Proportional to 276,819.60, 414,970.20 and 216,814.80

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Solution

The fourth proportional to 276,819.60, 414,970.20 and 216,814.80 is: 325,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,819.60 : 414,970.20 = 216,814.80 : x
  2. Step 2: Convert to fraction form
    276,819.60/414,970.20 = 216,814.80/x
  3. Step 3: Cross multiply
    276,819.60x = 414,970.20 × 216,814.80
  4. Step 4: Simplify right side
    276,819.60x = 89,971,680,918.96
  5. Step 5: Solve for x
    x = 89,971,680,918.96/276,819.60
  6. Step 6: Final answer
    x = 325,019.19

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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.