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Finding the Fourth Proportional to 302,687.80, 454,031.70 and 169,827.55

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Solution

The fourth proportional to 302,687.80, 454,031.70 and 169,827.55 is: 254,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,687.80 : 454,031.70 = 169,827.55 : x
  2. Step 2: Convert to fraction form
    302,687.80/454,031.70 = 169,827.55/x
  3. Step 3: Cross multiply
    302,687.80x = 454,031.70 × 169,827.55
  4. Step 4: Simplify right side
    302,687.80x = 77,107,091,233.34
  5. Step 5: Solve for x
    x = 77,107,091,233.34/302,687.80
  6. Step 6: Final answer
    x = 254,741.33

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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.