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Finding the Fourth Proportional to 283,796.80, 391,686.24 and 170,681.92

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Solution

The fourth proportional to 283,796.80, 391,686.24 and 170,681.92 is: 235,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,796.80 : 391,686.24 = 170,681.92 : x
  2. Step 2: Convert to fraction form
    283,796.80/391,686.24 = 170,681.92/x
  3. Step 3: Cross multiply
    283,796.80x = 391,686.24 × 170,681.92
  4. Step 4: Simplify right side
    283,796.80x = 66,853,759,480.78
  5. Step 5: Solve for x
    x = 66,853,759,480.78/283,796.80
  6. Step 6: Final answer
    x = 235,569.11

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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.