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Finding the Fourth Proportional to 327,133.60, 490,988.40 and 193,847.20

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Solution

The fourth proportional to 327,133.60, 490,988.40 and 193,847.20 is: 290,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,133.60 : 490,988.40 = 193,847.20 : x
  2. Step 2: Convert to fraction form
    327,133.60/490,988.40 = 193,847.20/x
  3. Step 3: Cross multiply
    327,133.60x = 490,988.40 × 193,847.20
  4. Step 4: Simplify right side
    327,133.60x = 95,176,726,572.48
  5. Step 5: Solve for x
    x = 95,176,726,572.48/327,133.60
  6. Step 6: Final answer
    x = 290,941.46

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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.