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Finding the Fourth Proportional to 410,056.60, 615,084.90 and 344,738.20

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Solution

The fourth proportional to 410,056.60, 615,084.90 and 344,738.20 is: 517,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,056.60 : 615,084.90 = 344,738.20 : x
  2. Step 2: Convert to fraction form
    410,056.60/615,084.90 = 344,738.20/x
  3. Step 3: Cross multiply
    410,056.60x = 615,084.90 × 344,738.20
  4. Step 4: Simplify right side
    410,056.60x = 212,043,261,273.18
  5. Step 5: Solve for x
    x = 212,043,261,273.18/410,056.60
  6. Step 6: Final answer
    x = 517,107.30

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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.