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Finding the Fourth Proportional to 326,042.88, 489,065.94 and 148,425.66

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Solution

The fourth proportional to 326,042.88, 489,065.94 and 148,425.66 is: 222,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,042.88 : 489,065.94 = 148,425.66 : x
  2. Step 2: Convert to fraction form
    326,042.88/489,065.94 = 148,425.66/x
  3. Step 3: Cross multiply
    326,042.88x = 489,065.94 × 148,425.66
  4. Step 4: Simplify right side
    326,042.88x = 72,589,934,928.02
  5. Step 5: Solve for x
    x = 72,589,934,928.02/326,042.88
  6. Step 6: Final answer
    x = 222,639.23

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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.