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Finding the Fourth Proportional to 410,065.83, 565,891.21 and 228,777.81

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Solution

The fourth proportional to 410,065.83, 565,891.21 and 228,777.81 is: 315,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,065.83 : 565,891.21 = 228,777.81 : x
  2. Step 2: Convert to fraction form
    410,065.83/565,891.21 = 228,777.81/x
  3. Step 3: Cross multiply
    410,065.83x = 565,891.21 × 228,777.81
  4. Step 4: Simplify right side
    410,065.83x = 129,463,351,722.05
  5. Step 5: Solve for x
    x = 129,463,351,722.05/410,065.83
  6. Step 6: Final answer
    x = 315,713.58

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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.