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Finding the Fourth Proportional to 282,005.92, 389,217.92 and 167,347.79

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Solution

The fourth proportional to 282,005.92, 389,217.92 and 167,347.79 is: 230,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,005.92 : 389,217.92 = 167,347.79 : x
  2. Step 2: Convert to fraction form
    282,005.92/389,217.92 = 167,347.79/x
  3. Step 3: Cross multiply
    282,005.92x = 389,217.92 × 167,347.79
  4. Step 4: Simplify right side
    282,005.92x = 65,134,755,957.57
  5. Step 5: Solve for x
    x = 65,134,755,957.57/282,005.92
  6. Step 6: Final answer
    x = 230,969.47

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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.