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Finding the Fourth Proportional to 413,185.62, 570,207.51 and 231,908.82

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Solution

The fourth proportional to 413,185.62, 570,207.51 and 231,908.82 is: 320,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,185.62 : 570,207.51 = 231,908.82 : x
  2. Step 2: Convert to fraction form
    413,185.62/570,207.51 = 231,908.82/x
  3. Step 3: Cross multiply
    413,185.62x = 570,207.51 × 231,908.82
  4. Step 4: Simplify right side
    413,185.62x = 132,236,150,799.24
  5. Step 5: Solve for x
    x = 132,236,150,799.24/413,185.62
  6. Step 6: Final answer
    x = 320,040.54

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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.