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Finding the Fourth Proportional to 536,494.63, 804,866.49 and 157,400.05

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Solution

The fourth proportional to 536,494.63, 804,866.49 and 157,400.05 is: 236,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,494.63 : 804,866.49 = 157,400.05 : x
  2. Step 2: Convert to fraction form
    536,494.63/804,866.49 = 157,400.05/x
  3. Step 3: Cross multiply
    536,494.63x = 804,866.49 × 157,400.05
  4. Step 4: Simplify right side
    536,494.63x = 126,686,025,769.33
  5. Step 5: Solve for x
    x = 126,686,025,769.33/536,494.63
  6. Step 6: Final answer
    x = 236,136.61

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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.