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Finding the Fourth Proportional to 410,134.20, 615,201.30 and 345,180.30

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Solution

The fourth proportional to 410,134.20, 615,201.30 and 345,180.30 is: 517,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,134.20 : 615,201.30 = 345,180.30 : x
  2. Step 2: Convert to fraction form
    410,134.20/615,201.30 = 345,180.30/x
  3. Step 3: Cross multiply
    410,134.20x = 615,201.30 × 345,180.30
  4. Step 4: Simplify right side
    410,134.20x = 212,355,369,294.39
  5. Step 5: Solve for x
    x = 212,355,369,294.39/410,134.20
  6. Step 6: Final answer
    x = 517,770.45

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1.5x scale

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.