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Finding the Fourth Proportional to 503,494.38, 694,826.91 and 277,141.50

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Solution

The fourth proportional to 503,494.38, 694,826.91 and 277,141.50 is: 382,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,494.38 : 694,826.91 = 277,141.50 : x
  2. Step 2: Convert to fraction form
    503,494.38/694,826.91 = 277,141.50/x
  3. Step 3: Cross multiply
    503,494.38x = 694,826.91 × 277,141.50
  4. Step 4: Simplify right side
    503,494.38x = 192,565,372,077.77
  5. Step 5: Solve for x
    x = 192,565,372,077.77/503,494.38
  6. Step 6: Final answer
    x = 382,457.84

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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.