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Finding the Fourth Proportional to 320,859, 442,902.06 and 186,723

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Solution

The fourth proportional to 320,859, 442,902.06 and 186,723 is: 257,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,859 : 442,902.06 = 186,723 : x
  2. Step 2: Convert to fraction form
    320,859/442,902.06 = 186,723/x
  3. Step 3: Cross multiply
    320,859x = 442,902.06 × 186,723
  4. Step 4: Simplify right side
    320,859x = 82,700,001,349.38
  5. Step 5: Solve for x
    x = 82,700,001,349.38/320,859
  6. Step 6: Final answer
    x = 257,745.62

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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.