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Finding the Fourth Proportional to 302,510.29, 417,456.57 and 166,542.88

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Solution

The fourth proportional to 302,510.29, 417,456.57 and 166,542.88 is: 229,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,510.29 : 417,456.57 = 166,542.88 : x
  2. Step 2: Convert to fraction form
    302,510.29/417,456.57 = 166,542.88/x
  3. Step 3: Cross multiply
    302,510.29x = 417,456.57 × 166,542.88
  4. Step 4: Simplify right side
    302,510.29x = 69,524,419,442.72
  5. Step 5: Solve for x
    x = 69,524,419,442.72/302,510.29
  6. Step 6: Final answer
    x = 229,824.97

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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.