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Finding the Fourth Proportional to 361,894.40, 499,404.62 and 208,927.44

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Solution

The fourth proportional to 361,894.40, 499,404.62 and 208,927.44 is: 288,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,894.40 : 499,404.62 = 208,927.44 : x
  2. Step 2: Convert to fraction form
    361,894.40/499,404.62 = 208,927.44/x
  3. Step 3: Cross multiply
    361,894.40x = 499,404.62 × 208,927.44
  4. Step 4: Simplify right side
    361,894.40x = 104,339,328,780.77
  5. Step 5: Solve for x
    x = 104,339,328,780.77/361,894.40
  6. Step 6: Final answer
    x = 288,314.29

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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.