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Finding the Fourth Proportional to 371,521.38, 512,712.19 and 208,184.78

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Solution

The fourth proportional to 371,521.38, 512,712.19 and 208,184.78 is: 287,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,521.38 : 512,712.19 = 208,184.78 : x
  2. Step 2: Convert to fraction form
    371,521.38/512,712.19 = 208,184.78/x
  3. Step 3: Cross multiply
    371,521.38x = 512,712.19 × 208,184.78
  4. Step 4: Simplify right side
    371,521.38x = 106,738,876,020.48
  5. Step 5: Solve for x
    x = 106,738,876,020.48/371,521.38
  6. Step 6: Final answer
    x = 287,302.11

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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.