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Finding the Fourth Proportional to 408,910.40, 613,730.10 and 240,219.80

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Solution

The fourth proportional to 408,910.40, 613,730.10 and 240,219.80 is: 360,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,910.40 : 613,730.10 = 240,219.80 : x
  2. Step 2: Convert to fraction form
    408,910.40/613,730.10 = 240,219.80/x
  3. Step 3: Cross multiply
    408,910.40x = 613,730.10 × 240,219.80
  4. Step 4: Simplify right side
    408,910.40x = 147,430,121,875.98
  5. Step 5: Solve for x
    x = 147,430,121,875.98/408,910.40
  6. Step 6: Final answer
    x = 360,543.83

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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.