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Finding the Fourth Proportional to 513,713.88, 770,379.26 and 176,659.11

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Solution

The fourth proportional to 513,713.88, 770,379.26 and 176,659.11 is: 264,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,713.88 : 770,379.26 = 176,659.11 : x
  2. Step 2: Convert to fraction form
    513,713.88/770,379.26 = 176,659.11/x
  3. Step 3: Cross multiply
    513,713.88x = 770,379.26 × 176,659.11
  4. Step 4: Simplify right side
    513,713.88x = 136,094,513,550.76
  5. Step 5: Solve for x
    x = 136,094,513,550.76/513,713.88
  6. Step 6: Final answer
    x = 264,922.79

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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.