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Finding the Fourth Proportional to 360,863.24, 497,999.22 and 233,759.84

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Solution

The fourth proportional to 360,863.24, 497,999.22 and 233,759.84 is: 322,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,863.24 : 497,999.22 = 233,759.84 : x
  2. Step 2: Convert to fraction form
    360,863.24/497,999.22 = 233,759.84/x
  3. Step 3: Cross multiply
    360,863.24x = 497,999.22 × 233,759.84
  4. Step 4: Simplify right side
    360,863.24x = 116,412,217,987.33
  5. Step 5: Solve for x
    x = 116,412,217,987.33/360,863.24
  6. Step 6: Final answer
    x = 322,593.73

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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.