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Finding the Fourth Proportional to 417,466.95, 576,104.59 and 226,480.29

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Solution

The fourth proportional to 417,466.95, 576,104.59 and 226,480.29 is: 312,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,466.95 : 576,104.59 = 226,480.29 : x
  2. Step 2: Convert to fraction form
    417,466.95/576,104.59 = 226,480.29/x
  3. Step 3: Cross multiply
    417,466.95x = 576,104.59 × 226,480.29
  4. Step 4: Simplify right side
    417,466.95x = 130,476,334,613.53
  5. Step 5: Solve for x
    x = 130,476,334,613.53/417,466.95
  6. Step 6: Final answer
    x = 312,542.91

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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.