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Finding the Fourth Proportional to 537,634.80, 806,217.84 and 163,570.32

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Solution

The fourth proportional to 537,634.80, 806,217.84 and 163,570.32 is: 245,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,634.80 : 806,217.84 = 163,570.32 : x
  2. Step 2: Convert to fraction form
    537,634.80/806,217.84 = 163,570.32/x
  3. Step 3: Cross multiply
    537,634.80x = 806,217.84 × 163,570.32
  4. Step 4: Simplify right side
    537,634.80x = 131,873,310,078.51
  5. Step 5: Solve for x
    x = 131,873,310,078.51/537,634.80
  6. Step 6: Final answer
    x = 245,284.18

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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.