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Finding the Fourth Proportional to 324,233.84, 447,440.94 and 188,301.20

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Solution

The fourth proportional to 324,233.84, 447,440.94 and 188,301.20 is: 259,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,233.84 : 447,440.94 = 188,301.20 : x
  2. Step 2: Convert to fraction form
    324,233.84/447,440.94 = 188,301.20/x
  3. Step 3: Cross multiply
    324,233.84x = 447,440.94 × 188,301.20
  4. Step 4: Simplify right side
    324,233.84x = 84,253,665,931.13
  5. Step 5: Solve for x
    x = 84,253,665,931.13/324,233.84
  6. Step 6: Final answer
    x = 259,854.63

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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.