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Finding the Fourth Proportional to 298,221.84, 447,332.84 and 204,443.28

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Solution

The fourth proportional to 298,221.84, 447,332.84 and 204,443.28 is: 306,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,221.84 : 447,332.84 = 204,443.28 : x
  2. Step 2: Convert to fraction form
    298,221.84/447,332.84 = 204,443.28/x
  3. Step 3: Cross multiply
    298,221.84x = 447,332.84 × 204,443.28
  4. Step 4: Simplify right side
    298,221.84x = 91,454,193,061.32
  5. Step 5: Solve for x
    x = 91,454,193,061.32/298,221.84
  6. Step 6: Final answer
    x = 306,664.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.