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Finding the Fourth Proportional to 534,732.40, 801,709.80 and 219,026.80

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Solution

The fourth proportional to 534,732.40, 801,709.80 and 219,026.80 is: 328,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,732.40 : 801,709.80 = 219,026.80 : x
  2. Step 2: Convert to fraction form
    534,732.40/801,709.80 = 219,026.80/x
  3. Step 3: Cross multiply
    534,732.40x = 801,709.80 × 219,026.80
  4. Step 4: Simplify right side
    534,732.40x = 175,595,932,022.64
  5. Step 5: Solve for x
    x = 175,595,932,022.64/534,732.40
  6. Step 6: Final answer
    x = 328,380.95

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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.