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Finding the Fourth Proportional to 537,820.75, 806,731.19 and 163,843.75

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Solution

The fourth proportional to 537,820.75, 806,731.19 and 163,843.75 is: 245,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,820.75 : 806,731.19 = 163,843.75 : x
  2. Step 2: Convert to fraction form
    537,820.75/806,731.19 = 163,843.75/x
  3. Step 3: Cross multiply
    537,820.75x = 806,731.19 × 163,843.75
  4. Step 4: Simplify right side
    537,820.75x = 132,177,863,411.56
  5. Step 5: Solve for x
    x = 132,177,863,411.56/537,820.75
  6. Step 6: Final answer
    x = 245,765.64

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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.