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Finding the Fourth Proportional to 326,095.80, 489,143.70 and 231,617.40

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Solution

The fourth proportional to 326,095.80, 489,143.70 and 231,617.40 is: 347,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,095.80 : 489,143.70 = 231,617.40 : x
  2. Step 2: Convert to fraction form
    326,095.80/489,143.70 = 231,617.40/x
  3. Step 3: Cross multiply
    326,095.80x = 489,143.70 × 231,617.40
  4. Step 4: Simplify right side
    326,095.80x = 113,294,192,020.38
  5. Step 5: Solve for x
    x = 113,294,192,020.38/326,095.80
  6. Step 6: Final answer
    x = 347,426.10

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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.