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Finding the Fourth Proportional to 536,498.73, 804,872.66 and 157,404.15

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Solution

The fourth proportional to 536,498.73, 804,872.66 and 157,404.15 is: 236,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,498.73 : 804,872.66 = 157,404.15 : x
  2. Step 2: Convert to fraction form
    536,498.73/804,872.66 = 157,404.15/x
  3. Step 3: Cross multiply
    536,498.73x = 804,872.66 × 157,404.15
  4. Step 4: Simplify right side
    536,498.73x = 126,690,296,905.54
  5. Step 5: Solve for x
    x = 126,690,296,905.54/536,498.73
  6. Step 6: Final answer
    x = 236,142.77

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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.