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Finding the Fourth Proportional to 310,132.50, 428,145.40 and 208,691.34

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Solution

The fourth proportional to 310,132.50, 428,145.40 and 208,691.34 is: 288,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,132.50 : 428,145.40 = 208,691.34 : x
  2. Step 2: Convert to fraction form
    310,132.50/428,145.40 = 208,691.34/x
  3. Step 3: Cross multiply
    310,132.50x = 428,145.40 × 208,691.34
  4. Step 4: Simplify right side
    310,132.50x = 89,350,234,722.27
  5. Step 5: Solve for x
    x = 89,350,234,722.27/310,132.50
  6. Step 6: Final answer
    x = 288,103.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.