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Finding the Fourth Proportional to 506,733.75, 699,301.44 and 277,311.38

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Solution

The fourth proportional to 506,733.75, 699,301.44 and 277,311.38 is: 382,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,733.75 : 699,301.44 = 277,311.38 : x
  2. Step 2: Convert to fraction form
    506,733.75/699,301.44 = 277,311.38/x
  3. Step 3: Cross multiply
    506,733.75x = 699,301.44 × 277,311.38
  4. Step 4: Simplify right side
    506,733.75x = 193,924,243,865.88
  5. Step 5: Solve for x
    x = 193,924,243,865.88/506,733.75
  6. Step 6: Final answer
    x = 382,694.55

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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.