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Finding the Fourth Proportional to 536,494.10, 804,849.15 and 157,414.10

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Solution

The fourth proportional to 536,494.10, 804,849.15 and 157,414.10 is: 236,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,494.10 : 804,849.15 = 157,414.10 : x
  2. Step 2: Convert to fraction form
    536,494.10/804,849.15 = 157,414.10/x
  3. Step 3: Cross multiply
    536,494.10x = 804,849.15 × 157,414.10
  4. Step 4: Simplify right side
    536,494.10x = 126,694,604,583.02
  5. Step 5: Solve for x
    x = 126,694,604,583.02/536,494.10
  6. Step 6: Final answer
    x = 236,152.84

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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.