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Finding the Fourth Proportional to 503,933.27, 695,427.96 and 277,578.77

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Solution

The fourth proportional to 503,933.27, 695,427.96 and 277,578.77 is: 383,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,933.27 : 695,427.96 = 277,578.77 : x
  2. Step 2: Convert to fraction form
    503,933.27/695,427.96 = 277,578.77/x
  3. Step 3: Cross multiply
    503,933.27x = 695,427.96 × 277,578.77
  4. Step 4: Simplify right side
    503,933.27x = 193,036,038,849.79
  5. Step 5: Solve for x
    x = 193,036,038,849.79/503,933.27
  6. Step 6: Final answer
    x = 383,058.73

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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.