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Finding the Fourth Proportional to 302,862.80, 454,294.20 and 184,473.20

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Solution

The fourth proportional to 302,862.80, 454,294.20 and 184,473.20 is: 276,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,862.80 : 454,294.20 = 184,473.20 : x
  2. Step 2: Convert to fraction form
    302,862.80/454,294.20 = 184,473.20/x
  3. Step 3: Cross multiply
    302,862.80x = 454,294.20 × 184,473.20
  4. Step 4: Simplify right side
    302,862.80x = 83,805,104,815.44
  5. Step 5: Solve for x
    x = 83,805,104,815.44/302,862.80
  6. Step 6: Final answer
    x = 276,709.80

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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.