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Finding the Fourth Proportional to 295,839, 443,758.50 and 98,847

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Solution

The fourth proportional to 295,839, 443,758.50 and 98,847 is: 148,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,839 : 443,758.50 = 98,847 : x
  2. Step 2: Convert to fraction form
    295,839/443,758.50 = 98,847/x
  3. Step 3: Cross multiply
    295,839x = 443,758.50 × 98,847
  4. Step 4: Simplify right side
    295,839x = 43,864,196,449.50
  5. Step 5: Solve for x
    x = 43,864,196,449.50/295,839
  6. Step 6: Final answer
    x = 148,270.50

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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.