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Finding the Fourth Proportional to 536,281.85, 804,530.78 and 157,201.85

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Solution

The fourth proportional to 536,281.85, 804,530.78 and 157,201.85 is: 235,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,281.85 : 804,530.78 = 157,201.85 : x
  2. Step 2: Convert to fraction form
    536,281.85/804,530.78 = 157,201.85/x
  3. Step 3: Cross multiply
    536,281.85x = 804,530.78 × 157,201.85
  4. Step 4: Simplify right side
    536,281.85x = 126,473,726,997.94
  5. Step 5: Solve for x
    x = 126,473,726,997.94/536,281.85
  6. Step 6: Final answer
    x = 235,834.43

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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.