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Finding the Fourth Proportional to 536,462.10, 804,801.15 and 157,382.10

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Solution

The fourth proportional to 536,462.10, 804,801.15 and 157,382.10 is: 236,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,462.10 : 804,801.15 = 157,382.10 : x
  2. Step 2: Convert to fraction form
    536,462.10/804,801.15 = 157,382.10/x
  3. Step 3: Cross multiply
    536,462.10x = 804,801.15 × 157,382.10
  4. Step 4: Simplify right side
    536,462.10x = 126,661,295,069.42
  5. Step 5: Solve for x
    x = 126,661,295,069.42/536,462.10
  6. Step 6: Final answer
    x = 236,104.83

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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.