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Finding the Fourth Proportional to 297,726.82, 410,864.86 and 161,760.69

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Solution

The fourth proportional to 297,726.82, 410,864.86 and 161,760.69 is: 223,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,726.82 : 410,864.86 = 161,760.69 : x
  2. Step 2: Convert to fraction form
    297,726.82/410,864.86 = 161,760.69/x
  3. Step 3: Cross multiply
    297,726.82x = 410,864.86 × 161,760.69
  4. Step 4: Simplify right side
    297,726.82x = 66,461,780,953.76
  5. Step 5: Solve for x
    x = 66,461,780,953.76/297,726.82
  6. Step 6: Final answer
    x = 223,230.75

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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.