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Finding the Fourth Proportional to 408,957.18, 613,534.18 and 172,367.52

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Solution

The fourth proportional to 408,957.18, 613,534.18 and 172,367.52 is: 258,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,957.18 : 613,534.18 = 172,367.52 : x
  2. Step 2: Convert to fraction form
    408,957.18/613,534.18 = 172,367.52/x
  3. Step 3: Cross multiply
    408,957.18x = 613,534.18 × 172,367.52
  4. Step 4: Simplify right side
    408,957.18x = 105,753,365,041.83
  5. Step 5: Solve for x
    x = 105,753,365,041.83/408,957.18
  6. Step 6: Final answer
    x = 258,592.76

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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.