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Finding the Fourth Proportional to 417,855.54, 576,640.62 and 226,868.95

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Solution

The fourth proportional to 417,855.54, 576,640.62 and 226,868.95 is: 313,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,855.54 : 576,640.62 = 226,868.95 : x
  2. Step 2: Convert to fraction form
    417,855.54/576,640.62 = 226,868.95/x
  3. Step 3: Cross multiply
    417,855.54x = 576,640.62 × 226,868.95
  4. Step 4: Simplify right side
    417,855.54x = 130,821,851,986.75
  5. Step 5: Solve for x
    x = 130,821,851,986.75/417,855.54
  6. Step 6: Final answer
    x = 313,079.14

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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.