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Finding the Fourth Proportional to 326,266.64, 489,378.09 and 89,589.50

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Solution

The fourth proportional to 326,266.64, 489,378.09 and 89,589.50 is: 134,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,266.64 : 489,378.09 = 89,589.50 : x
  2. Step 2: Convert to fraction form
    326,266.64/489,378.09 = 89,589.50/x
  3. Step 3: Cross multiply
    326,266.64x = 489,378.09 × 89,589.50
  4. Step 4: Simplify right side
    326,266.64x = 43,843,138,394.06
  5. Step 5: Solve for x
    x = 43,843,138,394.06/326,266.64
  6. Step 6: Final answer
    x = 134,378.24

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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.