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Finding the Fourth Proportional to 297,711.48, 410,846.51 and 161,748.12

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Solution

The fourth proportional to 297,711.48, 410,846.51 and 161,748.12 is: 223,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,711.48 : 410,846.51 = 161,748.12 : x
  2. Step 2: Convert to fraction form
    297,711.48/410,846.51 = 161,748.12/x
  3. Step 3: Cross multiply
    297,711.48x = 410,846.51 × 161,748.12
  4. Step 4: Simplify right side
    297,711.48x = 66,453,649,792.32
  5. Step 5: Solve for x
    x = 66,453,649,792.32/297,711.48
  6. Step 6: Final answer
    x = 223,214.94

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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.