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Finding the Fourth Proportional to 410,901.60, 615,315.60 and 327,957.60

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Solution

The fourth proportional to 410,901.60, 615,315.60 and 327,957.60 is: 491,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,901.60 : 615,315.60 = 327,957.60 : x
  2. Step 2: Convert to fraction form
    410,901.60/615,315.60 = 327,957.60/x
  3. Step 3: Cross multiply
    410,901.60x = 615,315.60 × 327,957.60
  4. Step 4: Simplify right side
    410,901.60x = 201,797,427,418.56
  5. Step 5: Solve for x
    x = 201,797,427,418.56/410,901.60
  6. Step 6: Final answer
    x = 491,108.89

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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.