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Finding the Fourth Proportional to 503,493.88, 694,826.22 and 277,141

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Solution

The fourth proportional to 503,493.88, 694,826.22 and 277,141 is: 382,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,493.88 : 694,826.22 = 277,141 : x
  2. Step 2: Convert to fraction form
    503,493.88/694,826.22 = 277,141/x
  3. Step 3: Cross multiply
    503,493.88x = 694,826.22 × 277,141
  4. Step 4: Simplify right side
    503,493.88x = 192,564,833,437.02
  5. Step 5: Solve for x
    x = 192,564,833,437.02/503,493.88
  6. Step 6: Final answer
    x = 382,457.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.