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Finding the Fourth Proportional to 502,912.24, 694,037.40 and 276,578.80

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Solution

The fourth proportional to 502,912.24, 694,037.40 and 276,578.80 is: 381,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,912.24 : 694,037.40 = 276,578.80 : x
  2. Step 2: Convert to fraction form
    502,912.24/694,037.40 = 276,578.80/x
  3. Step 3: Cross multiply
    502,912.24x = 694,037.40 × 276,578.80
  4. Step 4: Simplify right side
    502,912.24x = 191,956,031,247.12
  5. Step 5: Solve for x
    x = 191,956,031,247.12/502,912.24
  6. Step 6: Final answer
    x = 381,688.92

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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.