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Finding the Fourth Proportional to 334,175.83, 501,255.41 and 97,520.56

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Solution

The fourth proportional to 334,175.83, 501,255.41 and 97,520.56 is: 146,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,175.83 : 501,255.41 = 97,520.56 : x
  2. Step 2: Convert to fraction form
    334,175.83/501,255.41 = 97,520.56/x
  3. Step 3: Cross multiply
    334,175.83x = 501,255.41 × 97,520.56
  4. Step 4: Simplify right side
    334,175.83x = 48,882,708,286.23
  5. Step 5: Solve for x
    x = 48,882,708,286.23/334,175.83
  6. Step 6: Final answer
    x = 146,278.41

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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.