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Finding the Fourth Proportional to 492,897.28, 680,198.30 and 266,542.78

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Solution

The fourth proportional to 492,897.28, 680,198.30 and 266,542.78 is: 367,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,897.28 : 680,198.30 = 266,542.78 : x
  2. Step 2: Convert to fraction form
    492,897.28/680,198.30 = 266,542.78/x
  3. Step 3: Cross multiply
    492,897.28x = 680,198.30 × 266,542.78
  4. Step 4: Simplify right side
    492,897.28x = 181,301,945,833.27
  5. Step 5: Solve for x
    x = 181,301,945,833.27/492,897.28
  6. Step 6: Final answer
    x = 367,829.07

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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.