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Finding the Fourth Proportional to 502,729.98, 693,780.82 and 273,302.66

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Solution

The fourth proportional to 502,729.98, 693,780.82 and 273,302.66 is: 377,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,729.98 : 693,780.82 = 273,302.66 : x
  2. Step 2: Convert to fraction form
    502,729.98/693,780.82 = 273,302.66/x
  3. Step 3: Cross multiply
    502,729.98x = 693,780.82 × 273,302.66
  4. Step 4: Simplify right side
    502,729.98x = 189,612,143,562.98
  5. Step 5: Solve for x
    x = 189,612,143,562.98/502,729.98
  6. Step 6: Final answer
    x = 377,164.98

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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.