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Finding the Fourth Proportional to 283,277.44, 424,381.34 and 219,345.33

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Solution

The fourth proportional to 283,277.44, 424,381.34 and 219,345.33 is: 328,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,277.44 : 424,381.34 = 219,345.33 : x
  2. Step 2: Convert to fraction form
    283,277.44/424,381.34 = 219,345.33/x
  3. Step 3: Cross multiply
    283,277.44x = 424,381.34 × 219,345.33
  4. Step 4: Simplify right side
    283,277.44x = 93,086,067,207.94
  5. Step 5: Solve for x
    x = 93,086,067,207.94/283,277.44
  6. Step 6: Final answer
    x = 328,603.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.