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Finding the Fourth Proportional to 355,096.80, 532,947.60 and 144,885.60

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Solution

The fourth proportional to 355,096.80, 532,947.60 and 144,885.60 is: 217,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,096.80 : 532,947.60 = 144,885.60 : x
  2. Step 2: Convert to fraction form
    355,096.80/532,947.60 = 144,885.60/x
  3. Step 3: Cross multiply
    355,096.80x = 532,947.60 × 144,885.60
  4. Step 4: Simplify right side
    355,096.80x = 77,216,432,794.56
  5. Step 5: Solve for x
    x = 77,216,432,794.56/355,096.80
  6. Step 6: Final answer
    x = 217,451.78

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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.