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Finding the Fourth Proportional to 291,524.72, 402,233.80 and 164,200.24

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Solution

The fourth proportional to 291,524.72, 402,233.80 and 164,200.24 is: 226,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,524.72 : 402,233.80 = 164,200.24 : x
  2. Step 2: Convert to fraction form
    291,524.72/402,233.80 = 164,200.24/x
  3. Step 3: Cross multiply
    291,524.72x = 402,233.80 × 164,200.24
  4. Step 4: Simplify right side
    291,524.72x = 66,046,886,496.11
  5. Step 5: Solve for x
    x = 66,046,886,496.11/291,524.72
  6. Step 6: Final answer
    x = 226,556.73

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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.