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Finding the Fourth Proportional to 410,146.20, 615,219.30 and 345,192.30

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Solution

The fourth proportional to 410,146.20, 615,219.30 and 345,192.30 is: 517,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,146.20 : 615,219.30 = 345,192.30 : x
  2. Step 2: Convert to fraction form
    410,146.20/615,219.30 = 345,192.30/x
  3. Step 3: Cross multiply
    410,146.20x = 615,219.30 × 345,192.30
  4. Step 4: Simplify right side
    410,146.20x = 212,368,965,171.39
  5. Step 5: Solve for x
    x = 212,368,965,171.39/410,146.20
  6. Step 6: Final answer
    x = 517,788.45

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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.