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Finding the Fourth Proportional to 382,017.93, 527,198.97 and 229,081.02

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Solution

The fourth proportional to 382,017.93, 527,198.97 and 229,081.02 is: 316,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,017.93 : 527,198.97 = 229,081.02 : x
  2. Step 2: Convert to fraction form
    382,017.93/527,198.97 = 229,081.02/x
  3. Step 3: Cross multiply
    382,017.93x = 527,198.97 × 229,081.02
  4. Step 4: Simplify right side
    382,017.93x = 120,771,277,790.55
  5. Step 5: Solve for x
    x = 120,771,277,790.55/382,017.93
  6. Step 6: Final answer
    x = 316,140.34

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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.