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Finding the Fourth Proportional to 410,052.60, 615,078.90 and 344,734.20

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Solution

The fourth proportional to 410,052.60, 615,078.90 and 344,734.20 is: 517,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,052.60 : 615,078.90 = 344,734.20 : x
  2. Step 2: Convert to fraction form
    410,052.60/615,078.90 = 344,734.20/x
  3. Step 3: Cross multiply
    410,052.60x = 615,078.90 × 344,734.20
  4. Step 4: Simplify right side
    410,052.60x = 212,038,732,528.38
  5. Step 5: Solve for x
    x = 212,038,732,528.38/410,052.60
  6. Step 6: Final answer
    x = 517,101.30

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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.