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Finding the Fourth Proportional to 408,386.80, 611,122.20 and 258,698.80

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Solution

The fourth proportional to 408,386.80, 611,122.20 and 258,698.80 is: 387,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,386.80 : 611,122.20 = 258,698.80 : x
  2. Step 2: Convert to fraction form
    408,386.80/611,122.20 = 258,698.80/x
  3. Step 3: Cross multiply
    408,386.80x = 611,122.20 × 258,698.80
  4. Step 4: Simplify right side
    408,386.80x = 158,096,579,793.36
  5. Step 5: Solve for x
    x = 158,096,579,793.36/408,386.80
  6. Step 6: Final answer
    x = 387,124.61

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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.