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Finding the Fourth Proportional to 408,852.32, 613,235.34 and 109,363.12

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Solution

The fourth proportional to 408,852.32, 613,235.34 and 109,363.12 is: 164,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,852.32 : 613,235.34 = 109,363.12 : x
  2. Step 2: Convert to fraction form
    408,852.32/613,235.34 = 109,363.12/x
  3. Step 3: Cross multiply
    408,852.32x = 613,235.34 × 109,363.12
  4. Step 4: Simplify right side
    408,852.32x = 67,065,328,543.57
  5. Step 5: Solve for x
    x = 67,065,328,543.57/408,852.32
  6. Step 6: Final answer
    x = 164,033.14

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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.