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Finding the Fourth Proportional to 326,103.20, 489,154.80 and 231,624.80

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Solution

The fourth proportional to 326,103.20, 489,154.80 and 231,624.80 is: 347,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,103.20 : 489,154.80 = 231,624.80 : x
  2. Step 2: Convert to fraction form
    326,103.20/489,154.80 = 231,624.80/x
  3. Step 3: Cross multiply
    326,103.20x = 489,154.80 × 231,624.80
  4. Step 4: Simplify right side
    326,103.20x = 113,300,382,719.04
  5. Step 5: Solve for x
    x = 113,300,382,719.04/326,103.20
  6. Step 6: Final answer
    x = 347,437.20

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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.