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Finding the Fourth Proportional to 338,896.92, 467,294.29 and 216,225.17

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Solution

The fourth proportional to 338,896.92, 467,294.29 and 216,225.17 is: 298,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,896.92 : 467,294.29 = 216,225.17 : x
  2. Step 2: Convert to fraction form
    338,896.92/467,294.29 = 216,225.17/x
  3. Step 3: Cross multiply
    338,896.92x = 467,294.29 × 216,225.17
  4. Step 4: Simplify right side
    338,896.92x = 101,040,784,418.25
  5. Step 5: Solve for x
    x = 101,040,784,418.25/338,896.92
  6. Step 6: Final answer
    x = 298,146.07

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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.