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Finding the Fourth Proportional to 502,910.24, 694,034.64 and 276,576.80

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Solution

The fourth proportional to 502,910.24, 694,034.64 and 276,576.80 is: 381,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,910.24 : 694,034.64 = 276,576.80 : x
  2. Step 2: Convert to fraction form
    502,910.24/694,034.64 = 276,576.80/x
  3. Step 3: Cross multiply
    502,910.24x = 694,034.64 × 276,576.80
  4. Step 4: Simplify right side
    502,910.24x = 191,953,879,820.35
  5. Step 5: Solve for x
    x = 191,953,879,820.35/502,910.24
  6. Step 6: Final answer
    x = 381,686.16

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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.