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Finding the Fourth Proportional to 312,252.40, 430,793.04 and 204,882.04

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Solution

The fourth proportional to 312,252.40, 430,793.04 and 204,882.04 is: 282,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,252.40 : 430,793.04 = 204,882.04 : x
  2. Step 2: Convert to fraction form
    312,252.40/430,793.04 = 204,882.04/x
  3. Step 3: Cross multiply
    312,252.40x = 430,793.04 × 204,882.04
  4. Step 4: Simplify right side
    312,252.40x = 88,261,756,853.00
  5. Step 5: Solve for x
    x = 88,261,756,853.00/312,252.40
  6. Step 6: Final answer
    x = 282,661.58

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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.