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Finding the Fourth Proportional to 503,468.16, 694,805.76 and 277,134.72

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Solution

The fourth proportional to 503,468.16, 694,805.76 and 277,134.72 is: 382,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,468.16 : 694,805.76 = 277,134.72 : x
  2. Step 2: Convert to fraction form
    503,468.16/694,805.76 = 277,134.72/x
  3. Step 3: Cross multiply
    503,468.16x = 694,805.76 × 277,134.72
  4. Step 4: Simplify right side
    503,468.16x = 192,554,799,751.99
  5. Step 5: Solve for x
    x = 192,554,799,751.99/503,468.16
  6. Step 6: Final answer
    x = 382,456.76

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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.