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Finding the Fourth Proportional to 410,636.64, 615,955.05 and 154,517.43

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Solution

The fourth proportional to 410,636.64, 615,955.05 and 154,517.43 is: 231,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,636.64 : 615,955.05 = 154,517.43 : x
  2. Step 2: Convert to fraction form
    410,636.64/615,955.05 = 154,517.43/x
  3. Step 3: Cross multiply
    410,636.64x = 615,955.05 × 154,517.43
  4. Step 4: Simplify right side
    410,636.64x = 95,175,791,321.52
  5. Step 5: Solve for x
    x = 95,175,791,321.52/410,636.64
  6. Step 6: Final answer
    x = 231,776.18

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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.