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Finding the Fourth Proportional to 304,865.70, 456,642.45 and 252,377.70

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Solution

The fourth proportional to 304,865.70, 456,642.45 and 252,377.70 is: 378,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,865.70 : 456,642.45 = 252,377.70 : x
  2. Step 2: Convert to fraction form
    304,865.70/456,642.45 = 252,377.70/x
  3. Step 3: Cross multiply
    304,865.70x = 456,642.45 × 252,377.70
  4. Step 4: Simplify right side
    304,865.70x = 115,246,371,253.37
  5. Step 5: Solve for x
    x = 115,246,371,253.37/304,865.70
  6. Step 6: Final answer
    x = 378,023.41

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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.