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Finding the Fourth Proportional to 410,548.20, 615,908.70 and 130,093.80

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Solution

The fourth proportional to 410,548.20, 615,908.70 and 130,093.80 is: 195,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,548.20 : 615,908.70 = 130,093.80 : x
  2. Step 2: Convert to fraction form
    410,548.20/615,908.70 = 130,093.80/x
  3. Step 3: Cross multiply
    410,548.20x = 615,908.70 × 130,093.80
  4. Step 4: Simplify right side
    410,548.20x = 80,125,903,236.06
  5. Step 5: Solve for x
    x = 80,125,903,236.06/410,548.20
  6. Step 6: Final answer
    x = 195,168.08

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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.