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Finding the Fourth Proportional to 282,262.32, 423,299.52 and 82,594.08

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Solution

The fourth proportional to 282,262.32, 423,299.52 and 82,594.08 is: 123,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,262.32 : 423,299.52 = 82,594.08 : x
  2. Step 2: Convert to fraction form
    282,262.32/423,299.52 = 82,594.08/x
  3. Step 3: Cross multiply
    282,262.32x = 423,299.52 × 82,594.08
  4. Step 4: Simplify right side
    282,262.32x = 34,962,034,418.84
  5. Step 5: Solve for x
    x = 34,962,034,418.84/282,262.32
  6. Step 6: Final answer
    x = 123,863.63

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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.