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Finding the Fourth Proportional to 282,238.86, 389,484.06 and 159,728.97

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Solution

The fourth proportional to 282,238.86, 389,484.06 and 159,728.97 is: 220,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,238.86 : 389,484.06 = 159,728.97 : x
  2. Step 2: Convert to fraction form
    282,238.86/389,484.06 = 159,728.97/x
  3. Step 3: Cross multiply
    282,238.86x = 389,484.06 × 159,728.97
  4. Step 4: Simplify right side
    282,238.86x = 62,211,887,735.22
  5. Step 5: Solve for x
    x = 62,211,887,735.22/282,238.86
  6. Step 6: Final answer
    x = 220,422.83

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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.