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Finding the Fourth Proportional to 492,634.80, 738,952.20 and 177,123.60

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Solution

The fourth proportional to 492,634.80, 738,952.20 and 177,123.60 is: 265,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,634.80 : 738,952.20 = 177,123.60 : x
  2. Step 2: Convert to fraction form
    492,634.80/738,952.20 = 177,123.60/x
  3. Step 3: Cross multiply
    492,634.80x = 738,952.20 × 177,123.60
  4. Step 4: Simplify right side
    492,634.80x = 130,885,873,891.92
  5. Step 5: Solve for x
    x = 130,885,873,891.92/492,634.80
  6. Step 6: Final answer
    x = 265,685.40

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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.