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Finding the Fourth Proportional to 410,097.68, 565,978.56 and 228,872.60

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Solution

The fourth proportional to 410,097.68, 565,978.56 and 228,872.60 is: 315,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,097.68 : 565,978.56 = 228,872.60 : x
  2. Step 2: Convert to fraction form
    410,097.68/565,978.56 = 228,872.60/x
  3. Step 3: Cross multiply
    410,097.68x = 565,978.56 × 228,872.60
  4. Step 4: Simplify right side
    410,097.68x = 129,536,984,571.46
  5. Step 5: Solve for x
    x = 129,536,984,571.46/410,097.68
  6. Step 6: Final answer
    x = 315,868.61

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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.