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Finding the Fourth Proportional to 503,469.16, 694,807.14 and 277,135.72

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Solution

The fourth proportional to 503,469.16, 694,807.14 and 277,135.72 is: 382,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,469.16 : 694,807.14 = 277,135.72 : x
  2. Step 2: Convert to fraction form
    503,469.16/694,807.14 = 277,135.72/x
  3. Step 3: Cross multiply
    503,469.16x = 694,807.14 × 277,135.72
  4. Step 4: Simplify right side
    503,469.16x = 192,555,877,005.04
  5. Step 5: Solve for x
    x = 192,555,877,005.04/503,469.16
  6. Step 6: Final answer
    x = 382,458.14

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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.