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Finding the Fourth Proportional to 509,517.60, 764,283.60 and 193,991.76

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Solution

The fourth proportional to 509,517.60, 764,283.60 and 193,991.76 is: 290,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,517.60 : 764,283.60 = 193,991.76 : x
  2. Step 2: Convert to fraction form
    509,517.60/764,283.60 = 193,991.76/x
  3. Step 3: Cross multiply
    509,517.60x = 764,283.60 × 193,991.76
  4. Step 4: Simplify right side
    509,517.60x = 148,264,720,703.14
  5. Step 5: Solve for x
    x = 148,264,720,703.14/509,517.60
  6. Step 6: Final answer
    x = 290,990.38

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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.