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Finding the Fourth Proportional to 410,310.73, 615,735.21 and 144,064.39

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Solution

The fourth proportional to 410,310.73, 615,735.21 and 144,064.39 is: 216,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,310.73 : 615,735.21 = 144,064.39 : x
  2. Step 2: Convert to fraction form
    410,310.73/615,735.21 = 144,064.39/x
  3. Step 3: Cross multiply
    410,310.73x = 615,735.21 × 144,064.39
  4. Step 4: Simplify right side
    410,310.73x = 88,705,517,430.17
  5. Step 5: Solve for x
    x = 88,705,517,430.17/410,310.73
  6. Step 6: Final answer
    x = 216,191.07

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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.