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Finding the Fourth Proportional to 296,543.22, 444,872.92 and 96,809.96

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Solution

The fourth proportional to 296,543.22, 444,872.92 and 96,809.96 is: 145,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,543.22 : 444,872.92 = 96,809.96 : x
  2. Step 2: Convert to fraction form
    296,543.22/444,872.92 = 96,809.96/x
  3. Step 3: Cross multiply
    296,543.22x = 444,872.92 × 96,809.96
  4. Step 4: Simplify right side
    296,543.22x = 43,068,129,590.28
  5. Step 5: Solve for x
    x = 43,068,129,590.28/296,543.22
  6. Step 6: Final answer
    x = 145,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.