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Finding the Fourth Proportional to 282,383.34, 389,729.82 and 169,216.62

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Solution

The fourth proportional to 282,383.34, 389,729.82 and 169,216.62 is: 233,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,383.34 : 389,729.82 = 169,216.62 : x
  2. Step 2: Convert to fraction form
    282,383.34/389,729.82 = 169,216.62/x
  3. Step 3: Cross multiply
    282,383.34x = 389,729.82 × 169,216.62
  4. Step 4: Simplify right side
    282,383.34x = 65,948,762,853.61
  5. Step 5: Solve for x
    x = 65,948,762,853.61/282,383.34
  6. Step 6: Final answer
    x = 233,543.39

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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.