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Finding the Fourth Proportional to 509,512.60, 764,171.70 and 154,538.20

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Solution

The fourth proportional to 509,512.60, 764,171.70 and 154,538.20 is: 231,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,512.60 : 764,171.70 = 154,538.20 : x
  2. Step 2: Convert to fraction form
    509,512.60/764,171.70 = 154,538.20/x
  3. Step 3: Cross multiply
    509,512.60x = 764,171.70 × 154,538.20
  4. Step 4: Simplify right side
    509,512.60x = 118,093,719,008.94
  5. Step 5: Solve for x
    x = 118,093,719,008.94/509,512.60
  6. Step 6: Final answer
    x = 231,777.82

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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.