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Finding the Fourth Proportional to 297,694.76, 410,825.22 and 163,567.40

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Solution

The fourth proportional to 297,694.76, 410,825.22 and 163,567.40 is: 225,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,694.76 : 410,825.22 = 163,567.40 : x
  2. Step 2: Convert to fraction form
    297,694.76/410,825.22 = 163,567.40/x
  3. Step 3: Cross multiply
    297,694.76x = 410,825.22 × 163,567.40
  4. Step 4: Simplify right side
    297,694.76x = 67,197,613,089.83
  5. Step 5: Solve for x
    x = 67,197,613,089.83/297,694.76
  6. Step 6: Final answer
    x = 225,726.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.