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Finding the Fourth Proportional to 309,398, 464,174.76 and 87,782

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Solution

The fourth proportional to 309,398, 464,174.76 and 87,782 is: 131,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,398 : 464,174.76 = 87,782 : x
  2. Step 2: Convert to fraction form
    309,398/464,174.76 = 87,782/x
  3. Step 3: Cross multiply
    309,398x = 464,174.76 × 87,782
  4. Step 4: Simplify right side
    309,398x = 40,746,188,782.32
  5. Step 5: Solve for x
    x = 40,746,188,782.32/309,398
  6. Step 6: Final answer
    x = 131,695.06

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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.