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Finding the Fourth Proportional to 410,141.10, 615,211.65 and 251,856.30

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Solution

The fourth proportional to 410,141.10, 615,211.65 and 251,856.30 is: 377,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,141.10 : 615,211.65 = 251,856.30 : x
  2. Step 2: Convert to fraction form
    410,141.10/615,211.65 = 251,856.30/x
  3. Step 3: Cross multiply
    410,141.10x = 615,211.65 × 251,856.30
  4. Step 4: Simplify right side
    410,141.10x = 154,944,929,885.90
  5. Step 5: Solve for x
    x = 154,944,929,885.90/410,141.10
  6. Step 6: Final answer
    x = 377,784.45

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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.