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Finding the Fourth Proportional to 353,882, 488,357.16 and 194,906

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Solution

The fourth proportional to 353,882, 488,357.16 and 194,906 is: 268,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,882 : 488,357.16 = 194,906 : x
  2. Step 2: Convert to fraction form
    353,882/488,357.16 = 194,906/x
  3. Step 3: Cross multiply
    353,882x = 488,357.16 × 194,906
  4. Step 4: Simplify right side
    353,882x = 95,183,740,626.96
  5. Step 5: Solve for x
    x = 95,183,740,626.96/353,882
  6. Step 6: Final answer
    x = 268,970.28

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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.