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Finding the Fourth Proportional to 503,933.25, 695,427.92 and 277,578.75

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Solution

The fourth proportional to 503,933.25, 695,427.92 and 277,578.75 is: 383,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,933.25 : 695,427.92 = 277,578.75 : x
  2. Step 2: Convert to fraction form
    503,933.25/695,427.92 = 277,578.75/x
  3. Step 3: Cross multiply
    503,933.25x = 695,427.92 × 277,578.75
  4. Step 4: Simplify right side
    503,933.25x = 193,036,012,748.70
  5. Step 5: Solve for x
    x = 193,036,012,748.70/503,933.25
  6. Step 6: Final answer
    x = 383,058.69

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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.