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Finding the Fourth Proportional to 536,498.84, 804,872.90 and 157,404.26

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Solution

The fourth proportional to 536,498.84, 804,872.90 and 157,404.26 is: 236,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,498.84 : 804,872.90 = 157,404.26 : x
  2. Step 2: Convert to fraction form
    536,498.84/804,872.90 = 157,404.26/x
  3. Step 3: Cross multiply
    536,498.84x = 804,872.90 × 157,404.26
  4. Step 4: Simplify right side
    536,498.84x = 126,690,425,624.25
  5. Step 5: Solve for x
    x = 126,690,425,624.25/536,498.84
  6. Step 6: Final answer
    x = 236,142.96

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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.