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Finding the Fourth Proportional to 503,368.47, 694,648.25 and 277,013.97

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Solution

The fourth proportional to 503,368.47, 694,648.25 and 277,013.97 is: 382,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,368.47 : 694,648.25 = 277,013.97 : x
  2. Step 2: Convert to fraction form
    503,368.47/694,648.25 = 277,013.97/x
  3. Step 3: Cross multiply
    503,368.47x = 694,648.25 × 277,013.97
  4. Step 4: Simplify right side
    503,368.47x = 192,427,269,837.60
  5. Step 5: Solve for x
    x = 192,427,269,837.60/503,368.47
  6. Step 6: Final answer
    x = 382,279.15

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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.