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Finding the Fourth Proportional to 410,081.40, 615,122.10 and 241,428.60

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Solution

The fourth proportional to 410,081.40, 615,122.10 and 241,428.60 is: 362,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,081.40 : 615,122.10 = 241,428.60 : x
  2. Step 2: Convert to fraction form
    410,081.40/615,122.10 = 241,428.60/x
  3. Step 3: Cross multiply
    410,081.40x = 615,122.10 × 241,428.60
  4. Step 4: Simplify right side
    410,081.40x = 148,508,067,432.06
  5. Step 5: Solve for x
    x = 148,508,067,432.06/410,081.40
  6. Step 6: Final answer
    x = 362,142.90

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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.