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Finding the Fourth Proportional to 282,488.80, 423,733.20 and 262,805.80

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Solution

The fourth proportional to 282,488.80, 423,733.20 and 262,805.80 is: 394,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,488.80 : 423,733.20 = 262,805.80 : x
  2. Step 2: Convert to fraction form
    282,488.80/423,733.20 = 262,805.80/x
  3. Step 3: Cross multiply
    282,488.80x = 423,733.20 × 262,805.80
  4. Step 4: Simplify right side
    282,488.80x = 111,359,542,612.56
  5. Step 5: Solve for x
    x = 111,359,542,612.56/282,488.80
  6. Step 6: Final answer
    x = 394,208.70

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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.