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Finding the Fourth Proportional to 370,123.20, 510,769.44 and 200,357.28

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Solution

The fourth proportional to 370,123.20, 510,769.44 and 200,357.28 is: 276,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,123.20 : 510,769.44 = 200,357.28 : x
  2. Step 2: Convert to fraction form
    370,123.20/510,769.44 = 200,357.28/x
  3. Step 3: Cross multiply
    370,123.20x = 510,769.44 × 200,357.28
  4. Step 4: Simplify right side
    370,123.20x = 102,336,375,705.52
  5. Step 5: Solve for x
    x = 102,336,375,705.52/370,123.20
  6. Step 6: Final answer
    x = 276,492.73

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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.