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Finding the Fourth Proportional to 338,103.72, 466,550.82 and 202,110.66

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Solution

The fourth proportional to 338,103.72, 466,550.82 and 202,110.66 is: 278,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,103.72 : 466,550.82 = 202,110.66 : x
  2. Step 2: Convert to fraction form
    338,103.72/466,550.82 = 202,110.66/x
  3. Step 3: Cross multiply
    338,103.72x = 466,550.82 × 202,110.66
  4. Step 4: Simplify right side
    338,103.72x = 94,294,894,153.74
  5. Step 5: Solve for x
    x = 94,294,894,153.74/338,103.72
  6. Step 6: Final answer
    x = 278,893.39

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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.