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Finding the Fourth Proportional to 536,288.10, 804,540.15 and 157,208.10

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Solution

The fourth proportional to 536,288.10, 804,540.15 and 157,208.10 is: 235,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,288.10 : 804,540.15 = 157,208.10 : x
  2. Step 2: Convert to fraction form
    536,288.10/804,540.15 = 157,208.10/x
  3. Step 3: Cross multiply
    536,288.10x = 804,540.15 × 157,208.10
  4. Step 4: Simplify right side
    536,288.10x = 126,480,228,355.22
  5. Step 5: Solve for x
    x = 126,480,228,355.22/536,288.10
  6. Step 6: Final answer
    x = 235,843.81

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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.