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Finding the Fourth Proportional to 408,712.77, 613,062.06 and 183,914.14

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Solution

The fourth proportional to 408,712.77, 613,062.06 and 183,914.14 is: 275,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,712.77 : 613,062.06 = 183,914.14 : x
  2. Step 2: Convert to fraction form
    408,712.77/613,062.06 = 183,914.14/x
  3. Step 3: Cross multiply
    408,712.77x = 613,062.06 × 183,914.14
  4. Step 4: Simplify right side
    408,712.77x = 112,750,781,531.53
  5. Step 5: Solve for x
    x = 112,750,781,531.53/408,712.77
  6. Step 6: Final answer
    x = 275,868.02

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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.