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Finding the Fourth Proportional to 283,538.72, 391,282.27 and 154,476.83

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Solution

The fourth proportional to 283,538.72, 391,282.27 and 154,476.83 is: 213,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,538.72 : 391,282.27 = 154,476.83 : x
  2. Step 2: Convert to fraction form
    283,538.72/391,282.27 = 154,476.83/x
  3. Step 3: Cross multiply
    283,538.72x = 391,282.27 × 154,476.83
  4. Step 4: Simplify right side
    283,538.72x = 60,444,045,296.82
  5. Step 5: Solve for x
    x = 60,444,045,296.82/283,538.72
  6. Step 6: Final answer
    x = 213,177.39

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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.