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Finding the Fourth Proportional to 536,544, 804,940.38 and 157,449.24

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Solution

The fourth proportional to 536,544, 804,940.38 and 157,449.24 is: 236,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,544 : 804,940.38 = 157,449.24 : x
  2. Step 2: Convert to fraction form
    536,544/804,940.38 = 157,449.24/x
  3. Step 3: Cross multiply
    536,544x = 804,940.38 × 157,449.24
  4. Step 4: Simplify right side
    536,544x = 126,737,251,076.31
  5. Step 5: Solve for x
    x = 126,737,251,076.31/536,544
  6. Step 6: Final answer
    x = 236,210.36

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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.