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Finding the Fourth Proportional to 408,108.52, 612,226.16 and 208,320.80

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Solution

The fourth proportional to 408,108.52, 612,226.16 and 208,320.80 is: 312,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,108.52 : 612,226.16 = 208,320.80 : x
  2. Step 2: Convert to fraction form
    408,108.52/612,226.16 = 208,320.80/x
  3. Step 3: Cross multiply
    408,108.52x = 612,226.16 × 208,320.80
  4. Step 4: Simplify right side
    408,108.52x = 127,539,442,390.52
  5. Step 5: Solve for x
    x = 127,539,442,390.52/408,108.52
  6. Step 6: Final answer
    x = 312,513.55

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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.