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Finding the Fourth Proportional to 297,649.56, 410,864.22 and 197,079.96

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Solution

The fourth proportional to 297,649.56, 410,864.22 and 197,079.96 is: 272,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,649.56 : 410,864.22 = 197,079.96 : x
  2. Step 2: Convert to fraction form
    297,649.56/410,864.22 = 197,079.96/x
  3. Step 3: Cross multiply
    297,649.56x = 410,864.22 × 197,079.96
  4. Step 4: Simplify right side
    297,649.56x = 80,973,104,043.03
  5. Step 5: Solve for x
    x = 80,973,104,043.03/297,649.56
  6. Step 6: Final answer
    x = 272,041.74

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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.