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Finding the Fourth Proportional to 408,566.88, 612,714.24 and 171,865.44

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Solution

The fourth proportional to 408,566.88, 612,714.24 and 171,865.44 is: 257,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,566.88 : 612,714.24 = 171,865.44 : x
  2. Step 2: Convert to fraction form
    408,566.88/612,714.24 = 171,865.44/x
  3. Step 3: Cross multiply
    408,566.88x = 612,714.24 × 171,865.44
  4. Step 4: Simplify right side
    408,566.88x = 105,304,402,451.87
  5. Step 5: Solve for x
    x = 105,304,402,451.87/408,566.88
  6. Step 6: Final answer
    x = 257,740.92

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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.