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Finding the Fourth Proportional to 340,702.10, 466,763.55 and 327,932.65

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Solution

The fourth proportional to 340,702.10, 466,763.55 and 327,932.65 is: 449,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,702.10 : 466,763.55 = 327,932.65 : x
  2. Step 2: Convert to fraction form
    340,702.10/466,763.55 = 327,932.65/x
  3. Step 3: Cross multiply
    340,702.10x = 466,763.55 × 327,932.65
  4. Step 4: Simplify right side
    340,702.10x = 153,067,003,901.43
  5. Step 5: Solve for x
    x = 153,067,003,901.43/340,702.10
  6. Step 6: Final answer
    x = 449,269.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.