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Finding the Fourth Proportional to 341,993.32, 471,936.18 and 189,023.68

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Solution

The fourth proportional to 341,993.32, 471,936.18 and 189,023.68 is: 260,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,993.32 : 471,936.18 = 189,023.68 : x
  2. Step 2: Convert to fraction form
    341,993.32/471,936.18 = 189,023.68/x
  3. Step 3: Cross multiply
    341,993.32x = 471,936.18 × 189,023.68
  4. Step 4: Simplify right side
    341,993.32x = 89,207,113,468.74
  5. Step 5: Solve for x
    x = 89,207,113,468.74/341,993.32
  6. Step 6: Final answer
    x = 260,844.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.