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Finding the Fourth Proportional to 541,084.68, 811,618.77 and 186,101.78

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Solution

The fourth proportional to 541,084.68, 811,618.77 and 186,101.78 is: 279,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,084.68 : 811,618.77 = 186,101.78 : x
  2. Step 2: Convert to fraction form
    541,084.68/811,618.77 = 186,101.78/x
  3. Step 3: Cross multiply
    541,084.68x = 811,618.77 × 186,101.78
  4. Step 4: Simplify right side
    541,084.68x = 151,043,693,720.32
  5. Step 5: Solve for x
    x = 151,043,693,720.32/541,084.68
  6. Step 6: Final answer
    x = 279,149.82

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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.