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Finding the Fourth Proportional to 302,462.10, 454,021.20 and 169,601.85

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Solution

The fourth proportional to 302,462.10, 454,021.20 and 169,601.85 is: 254,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,462.10 : 454,021.20 = 169,601.85 : x
  2. Step 2: Convert to fraction form
    302,462.10/454,021.20 = 169,601.85/x
  3. Step 3: Cross multiply
    302,462.10x = 454,021.20 × 169,601.85
  4. Step 4: Simplify right side
    302,462.10x = 77,002,835,459.22
  5. Step 5: Solve for x
    x = 77,002,835,459.22/302,462.10
  6. Step 6: Final answer
    x = 254,586.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.