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Finding the Fourth Proportional to 329,812, 455,140.80 and 178,909.60

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Solution

The fourth proportional to 329,812, 455,140.80 and 178,909.60 is: 246,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,812 : 455,140.80 = 178,909.60 : x
  2. Step 2: Convert to fraction form
    329,812/455,140.80 = 178,909.60/x
  3. Step 3: Cross multiply
    329,812x = 455,140.80 × 178,909.60
  4. Step 4: Simplify right side
    329,812x = 81,429,058,471.68
  5. Step 5: Solve for x
    x = 81,429,058,471.68/329,812
  6. Step 6: Final answer
    x = 246,895.38

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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.