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Finding the Fourth Proportional to 410,065.88, 565,891.26 and 228,777.84

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Solution

The fourth proportional to 410,065.88, 565,891.26 and 228,777.84 is: 315,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,065.88 : 565,891.26 = 228,777.84 : x
  2. Step 2: Convert to fraction form
    410,065.88/565,891.26 = 228,777.84/x
  3. Step 3: Cross multiply
    410,065.88x = 565,891.26 × 228,777.84
  4. Step 4: Simplify right side
    410,065.88x = 129,463,379,279.76
  5. Step 5: Solve for x
    x = 129,463,379,279.76/410,065.88
  6. Step 6: Final answer
    x = 315,713.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.