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Finding the Fourth Proportional to 541,464.75, 811,562.90 and 186,164.73

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Solution

The fourth proportional to 541,464.75, 811,562.90 and 186,164.73 is: 279,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,464.75 : 811,562.90 = 186,164.73 : x
  2. Step 2: Convert to fraction form
    541,464.75/811,562.90 = 186,164.73/x
  3. Step 3: Cross multiply
    541,464.75x = 811,562.90 × 186,164.73
  4. Step 4: Simplify right side
    541,464.75x = 151,084,387,225.69
  5. Step 5: Solve for x
    x = 151,084,387,225.69/541,464.75
  6. Step 6: Final answer
    x = 279,029.04

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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.