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Finding the Fourth Proportional to 410,887.32, 615,873.02 and 170,866.82

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Solution

The fourth proportional to 410,887.32, 615,873.02 and 170,866.82 is: 256,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,887.32 : 615,873.02 = 170,866.82 : x
  2. Step 2: Convert to fraction form
    410,887.32/615,873.02 = 170,866.82/x
  3. Step 3: Cross multiply
    410,887.32x = 615,873.02 × 170,866.82
  4. Step 4: Simplify right side
    410,887.32x = 105,232,260,517.50
  5. Step 5: Solve for x
    x = 105,232,260,517.50/410,887.32
  6. Step 6: Final answer
    x = 256,109.78

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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.