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Finding the Fourth Proportional to 354,471.40, 532,052.70 and 177,178.60

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Solution

The fourth proportional to 354,471.40, 532,052.70 and 177,178.60 is: 265,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,471.40 : 532,052.70 = 177,178.60 : x
  2. Step 2: Convert to fraction form
    354,471.40/532,052.70 = 177,178.60/x
  3. Step 3: Cross multiply
    354,471.40x = 532,052.70 × 177,178.60
  4. Step 4: Simplify right side
    354,471.40x = 94,268,352,512.22
  5. Step 5: Solve for x
    x = 94,268,352,512.22/354,471.40
  6. Step 6: Final answer
    x = 265,940.64

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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.