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Finding the Fourth Proportional to 302,024.72, 416,799.24 and 166,064.24

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Solution

The fourth proportional to 302,024.72, 416,799.24 and 166,064.24 is: 229,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024.72 : 416,799.24 = 166,064.24 : x
  2. Step 2: Convert to fraction form
    302,024.72/416,799.24 = 166,064.24/x
  3. Step 3: Cross multiply
    302,024.72x = 416,799.24 × 166,064.24
  4. Step 4: Simplify right side
    302,024.72x = 69,215,449,023.18
  5. Step 5: Solve for x
    x = 69,215,449,023.18/302,024.72
  6. Step 6: Final answer
    x = 229,171.47

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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.