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Finding the Fourth Proportional to 326,616.32, 489,924.29 and 101,996

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Solution

The fourth proportional to 326,616.32, 489,924.29 and 101,996 is: 152,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,616.32 : 489,924.29 = 101,996 : x
  2. Step 2: Convert to fraction form
    326,616.32/489,924.29 = 101,996/x
  3. Step 3: Cross multiply
    326,616.32x = 489,924.29 × 101,996
  4. Step 4: Simplify right side
    326,616.32x = 49,970,317,882.84
  5. Step 5: Solve for x
    x = 49,970,317,882.84/326,616.32
  6. Step 6: Final answer
    x = 152,993.94

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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.