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Finding the Fourth Proportional to 282,378.92, 389,695.62 and 169,199.24

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Solution

The fourth proportional to 282,378.92, 389,695.62 and 169,199.24 is: 233,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,378.92 : 389,695.62 = 169,199.24 : x
  2. Step 2: Convert to fraction form
    282,378.92/389,695.62 = 169,199.24/x
  3. Step 3: Cross multiply
    282,378.92x = 389,695.62 × 169,199.24
  4. Step 4: Simplify right side
    282,378.92x = 65,936,202,735.33
  5. Step 5: Solve for x
    x = 65,936,202,735.33/282,378.92
  6. Step 6: Final answer
    x = 233,502.57

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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.