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Finding the Fourth Proportional to 410,883.71, 615,476.68 and 241,883.28

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Solution

The fourth proportional to 410,883.71, 615,476.68 and 241,883.28 is: 362,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,883.71 : 615,476.68 = 241,883.28 : x
  2. Step 2: Convert to fraction form
    410,883.71/615,476.68 = 241,883.28/x
  3. Step 3: Cross multiply
    410,883.71x = 615,476.68 × 241,883.28
  4. Step 4: Simplify right side
    410,883.71x = 148,873,517,517.20
  5. Step 5: Solve for x
    x = 148,873,517,517.20/410,883.71
  6. Step 6: Final answer
    x = 362,325.19

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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.