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Finding the Fourth Proportional to 381,166.13, 571,540.32 and 175,777.82

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Solution

The fourth proportional to 381,166.13, 571,540.32 and 175,777.82 is: 263,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,166.13 : 571,540.32 = 175,777.82 : x
  2. Step 2: Convert to fraction form
    381,166.13/571,540.32 = 175,777.82/x
  3. Step 3: Cross multiply
    381,166.13x = 571,540.32 × 175,777.82
  4. Step 4: Simplify right side
    381,166.13x = 100,464,108,634.00
  5. Step 5: Solve for x
    x = 100,464,108,634.00/381,166.13
  6. Step 6: Final answer
    x = 263,570.40

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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.