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Finding the Fourth Proportional to 282,375.92, 389,691.48 and 169,196.24

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Solution

The fourth proportional to 282,375.92, 389,691.48 and 169,196.24 is: 233,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,375.92 : 389,691.48 = 169,196.24 : x
  2. Step 2: Convert to fraction form
    282,375.92/389,691.48 = 169,196.24/x
  3. Step 3: Cross multiply
    282,375.92x = 389,691.48 × 169,196.24
  4. Step 4: Simplify right side
    282,375.92x = 65,934,333,176.04
  5. Step 5: Solve for x
    x = 65,934,333,176.04/282,375.92
  6. Step 6: Final answer
    x = 233,498.43

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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.