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Finding the Fourth Proportional to 410,318.20, 615,477.30 and 185,591.80

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Solution

The fourth proportional to 410,318.20, 615,477.30 and 185,591.80 is: 278,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,318.20 : 615,477.30 = 185,591.80 : x
  2. Step 2: Convert to fraction form
    410,318.20/615,477.30 = 185,591.80/x
  3. Step 3: Cross multiply
    410,318.20x = 615,477.30 × 185,591.80
  4. Step 4: Simplify right side
    410,318.20x = 114,227,539,966.14
  5. Step 5: Solve for x
    x = 114,227,539,966.14/410,318.20
  6. Step 6: Final answer
    x = 278,387.70

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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.