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Finding the Fourth Proportional to 410,299.58, 565,766.96 and 266,793.50

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Solution

The fourth proportional to 410,299.58, 565,766.96 and 266,793.50 is: 367,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,299.58 : 565,766.96 = 266,793.50 : x
  2. Step 2: Convert to fraction form
    410,299.58/565,766.96 = 266,793.50/x
  3. Step 3: Cross multiply
    410,299.58x = 565,766.96 × 266,793.50
  4. Step 4: Simplify right side
    410,299.58x = 150,942,947,442.76
  5. Step 5: Solve for x
    x = 150,942,947,442.76/410,299.58
  6. Step 6: Final answer
    x = 367,884.72

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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.