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Finding the Fourth Proportional to 526,819.38, 726,932.49 and 319,980.12

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Solution

The fourth proportional to 526,819.38, 726,932.49 and 319,980.12 is: 441,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,819.38 : 726,932.49 = 319,980.12 : x
  2. Step 2: Convert to fraction form
    526,819.38/726,932.49 = 319,980.12/x
  3. Step 3: Cross multiply
    526,819.38x = 726,932.49 × 319,980.12
  4. Step 4: Simplify right side
    526,819.38x = 232,603,945,382.10
  5. Step 5: Solve for x
    x = 232,603,945,382.10/526,819.38
  6. Step 6: Final answer
    x = 441,525.04

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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.