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Finding the Fourth Proportional to 297,330.05, 410,315.68 and 161,363.96

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Solution

The fourth proportional to 297,330.05, 410,315.68 and 161,363.96 is: 222,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,330.05 : 410,315.68 = 161,363.96 : x
  2. Step 2: Convert to fraction form
    297,330.05/410,315.68 = 161,363.96/x
  3. Step 3: Cross multiply
    297,330.05x = 410,315.68 × 161,363.96
  4. Step 4: Simplify right side
    297,330.05x = 66,210,164,064.06
  5. Step 5: Solve for x
    x = 66,210,164,064.06/297,330.05
  6. Step 6: Final answer
    x = 222,682.39

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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.