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Finding the Fourth Proportional to 297,602.64, 410,694.66 and 161,637.90

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Solution

The fourth proportional to 297,602.64, 410,694.66 and 161,637.90 is: 223,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,602.64 : 410,694.66 = 161,637.90 : x
  2. Step 2: Convert to fraction form
    297,602.64/410,694.66 = 161,637.90/x
  3. Step 3: Cross multiply
    297,602.64x = 410,694.66 × 161,637.90
  4. Step 4: Simplify right side
    297,602.64x = 66,383,822,383.61
  5. Step 5: Solve for x
    x = 66,383,822,383.61/297,602.64
  6. Step 6: Final answer
    x = 223,061.94

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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.