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Finding the Fourth Proportional to 354,260.07, 488,854.44 and 199,234.58

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Solution

The fourth proportional to 354,260.07, 488,854.44 and 199,234.58 is: 274,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,260.07 : 488,854.44 = 199,234.58 : x
  2. Step 2: Convert to fraction form
    354,260.07/488,854.44 = 199,234.58/x
  3. Step 3: Cross multiply
    354,260.07x = 488,854.44 × 199,234.58
  4. Step 4: Simplify right side
    354,260.07x = 97,396,706,590.26
  5. Step 5: Solve for x
    x = 97,396,706,590.26/354,260.07
  6. Step 6: Final answer
    x = 274,929.96

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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.