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Finding the Fourth Proportional to 410,891.92, 567,034.12 and 232,043.92

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Solution

The fourth proportional to 410,891.92, 567,034.12 and 232,043.92 is: 320,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,891.92 : 567,034.12 = 232,043.92 : x
  2. Step 2: Convert to fraction form
    410,891.92/567,034.12 = 232,043.92/x
  3. Step 3: Cross multiply
    410,891.92x = 567,034.12 × 232,043.92
  4. Step 4: Simplify right side
    410,891.92x = 131,576,819,978.55
  5. Step 5: Solve for x
    x = 131,576,819,978.55/410,891.92
  6. Step 6: Final answer
    x = 320,222.46

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1.5x scale

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.