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Finding the Fourth Proportional to 296,995.60, 409,848.96 and 167,932

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Solution

The fourth proportional to 296,995.60, 409,848.96 and 167,932 is: 231,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,995.60 : 409,848.96 = 167,932 : x
  2. Step 2: Convert to fraction form
    296,995.60/409,848.96 = 167,932/x
  3. Step 3: Cross multiply
    296,995.60x = 409,848.96 × 167,932
  4. Step 4: Simplify right side
    296,995.60x = 68,826,755,550.72
  5. Step 5: Solve for x
    x = 68,826,755,550.72/296,995.60
  6. Step 6: Final answer
    x = 231,743.35

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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.