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Finding the Fourth Proportional to 329,821.46, 455,154.50 and 178,918.46

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Solution

The fourth proportional to 329,821.46, 455,154.50 and 178,918.46 is: 246,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,821.46 : 455,154.50 = 178,918.46 : x
  2. Step 2: Convert to fraction form
    329,821.46/455,154.50 = 178,918.46/x
  3. Step 3: Cross multiply
    329,821.46x = 455,154.50 × 178,918.46
  4. Step 4: Simplify right side
    329,821.46x = 81,435,542,202.07
  5. Step 5: Solve for x
    x = 81,435,542,202.07/329,821.46
  6. Step 6: Final answer
    x = 246,907.95

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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.