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Finding the Fourth Proportional to 536,574.10, 804,969.15 and 157,494.10

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Solution

The fourth proportional to 536,574.10, 804,969.15 and 157,494.10 is: 236,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,574.10 : 804,969.15 = 157,494.10 : x
  2. Step 2: Convert to fraction form
    536,574.10/804,969.15 = 157,494.10/x
  3. Step 3: Cross multiply
    536,574.10x = 804,969.15 × 157,494.10
  4. Step 4: Simplify right side
    536,574.10x = 126,777,891,807.02
  5. Step 5: Solve for x
    x = 126,777,891,807.02/536,574.10
  6. Step 6: Final answer
    x = 236,272.85

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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.