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Finding the Fourth Proportional to 503,502.81, 694,833.51 and 277,148.31

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Solution

The fourth proportional to 503,502.81, 694,833.51 and 277,148.31 is: 382,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,502.81 : 694,833.51 = 277,148.31 : x
  2. Step 2: Convert to fraction form
    503,502.81/694,833.51 = 277,148.31/x
  3. Step 3: Cross multiply
    503,502.81x = 694,833.51 × 277,148.31
  4. Step 4: Simplify right side
    503,502.81x = 192,571,933,027.87
  5. Step 5: Solve for x
    x = 192,571,933,027.87/503,502.81
  6. Step 6: Final answer
    x = 382,464.47

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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.