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Finding the Fourth Proportional to 537,767.80, 806,651.70 and 163,790.20

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Solution

The fourth proportional to 537,767.80, 806,651.70 and 163,790.20 is: 245,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,767.80 : 806,651.70 = 163,790.20 : x
  2. Step 2: Convert to fraction form
    537,767.80/806,651.70 = 163,790.20/x
  3. Step 3: Cross multiply
    537,767.80x = 806,651.70 × 163,790.20
  4. Step 4: Simplify right side
    537,767.80x = 132,121,643,273.34
  5. Step 5: Solve for x
    x = 132,121,643,273.34/537,767.80
  6. Step 6: Final answer
    x = 245,685.30

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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.