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Finding the Fourth Proportional to 283,177.92, 424,268.55 and 266,321.31

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Solution

The fourth proportional to 283,177.92, 424,268.55 and 266,321.31 is: 399,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,177.92 : 424,268.55 = 266,321.31 : x
  2. Step 2: Convert to fraction form
    283,177.92/424,268.55 = 266,321.31/x
  3. Step 3: Cross multiply
    283,177.92x = 424,268.55 × 266,321.31
  4. Step 4: Simplify right side
    283,177.92x = 112,991,756,027.80
  5. Step 5: Solve for x
    x = 112,991,756,027.80/283,177.92
  6. Step 6: Final answer
    x = 399,013.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.