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Finding the Fourth Proportional to 472,082.42, 708,418.89 and 191,599.68

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Solution

The fourth proportional to 472,082.42, 708,418.89 and 191,599.68 is: 287,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,082.42 : 708,418.89 = 191,599.68 : x
  2. Step 2: Convert to fraction form
    472,082.42/708,418.89 = 191,599.68/x
  3. Step 3: Cross multiply
    472,082.42x = 708,418.89 × 191,599.68
  4. Step 4: Simplify right side
    472,082.42x = 135,732,832,629.96
  5. Step 5: Solve for x
    x = 135,732,832,629.96/472,082.42
  6. Step 6: Final answer
    x = 287,519.35

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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.