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Finding the Fourth Proportional to 370,141.20, 510,794.76 and 200,375.20

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Solution

The fourth proportional to 370,141.20, 510,794.76 and 200,375.20 is: 276,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,141.20 : 510,794.76 = 200,375.20 : x
  2. Step 2: Convert to fraction form
    370,141.20/510,794.76 = 200,375.20/x
  3. Step 3: Cross multiply
    370,141.20x = 510,794.76 × 200,375.20
  4. Step 4: Simplify right side
    370,141.20x = 102,350,602,193.95
  5. Step 5: Solve for x
    x = 102,350,602,193.95/370,141.20
  6. Step 6: Final answer
    x = 276,517.72

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1.5x scale

Why These Related Problems?

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