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Finding the Fourth Proportional to 541,074.74, 811,603.90 and 186,091.83

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Solution

The fourth proportional to 541,074.74, 811,603.90 and 186,091.83 is: 279,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,074.74 : 811,603.90 = 186,091.83 : x
  2. Step 2: Convert to fraction form
    541,074.74/811,603.90 = 186,091.83/x
  3. Step 3: Cross multiply
    541,074.74x = 811,603.90 × 186,091.83
  4. Step 4: Simplify right side
    541,074.74x = 151,032,855,218.75
  5. Step 5: Solve for x
    x = 151,032,855,218.75/541,074.74
  6. Step 6: Final answer
    x = 279,134.92

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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.