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Finding the Fourth Proportional to 329,822.46, 455,155.88 and 178,919.46

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Solution

The fourth proportional to 329,822.46, 455,155.88 and 178,919.46 is: 246,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,822.46 : 455,155.88 = 178,919.46 : x
  2. Step 2: Convert to fraction form
    329,822.46/455,155.88 = 178,919.46/x
  3. Step 3: Cross multiply
    329,822.46x = 455,155.88 × 178,919.46
  4. Step 4: Simplify right side
    329,822.46x = 81,436,244,265.42
  5. Step 5: Solve for x
    x = 81,436,244,265.42/329,822.46
  6. Step 6: Final answer
    x = 246,909.33

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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.