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Finding the Fourth Proportional to 326,203.56, 489,298.86 and 185,661

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Solution

The fourth proportional to 326,203.56, 489,298.86 and 185,661 is: 278,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,203.56 : 489,298.86 = 185,661 : x
  2. Step 2: Convert to fraction form
    326,203.56/489,298.86 = 185,661/x
  3. Step 3: Cross multiply
    326,203.56x = 489,298.86 × 185,661
  4. Step 4: Simplify right side
    326,203.56x = 90,843,715,646.46
  5. Step 5: Solve for x
    x = 90,843,715,646.46/326,203.56
  6. Step 6: Final answer
    x = 278,487.81

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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.