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Finding the Fourth Proportional to 509,754.80, 764,632.20 and 177,330.80

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Solution

The fourth proportional to 509,754.80, 764,632.20 and 177,330.80 is: 265,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,754.80 : 764,632.20 = 177,330.80 : x
  2. Step 2: Convert to fraction form
    509,754.80/764,632.20 = 177,330.80/x
  3. Step 3: Cross multiply
    509,754.80x = 764,632.20 × 177,330.80
  4. Step 4: Simplify right side
    509,754.80x = 135,592,839,731.76
  5. Step 5: Solve for x
    x = 135,592,839,731.76/509,754.80
  6. Step 6: Final answer
    x = 265,996.20

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Similar ratio
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1.5x scale

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.