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Finding the Fourth Proportional to 297,792.86, 410,952.80 and 161,824.23

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Solution

The fourth proportional to 297,792.86, 410,952.80 and 161,824.23 is: 223,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,792.86 : 410,952.80 = 161,824.23 : x
  2. Step 2: Convert to fraction form
    297,792.86/410,952.80 = 161,824.23/x
  3. Step 3: Cross multiply
    297,792.86x = 410,952.80 × 161,824.23
  4. Step 4: Simplify right side
    297,792.86x = 66,502,119,617.22
  5. Step 5: Solve for x
    x = 66,502,119,617.22/297,792.86
  6. Step 6: Final answer
    x = 223,316.71

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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.