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Finding the Fourth Proportional to 509,510.80, 764,568.60 and 193,999.60

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Solution

The fourth proportional to 509,510.80, 764,568.60 and 193,999.60 is: 291,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,510.80 : 764,568.60 = 193,999.60 : x
  2. Step 2: Convert to fraction form
    509,510.80/764,568.60 = 193,999.60/x
  3. Step 3: Cross multiply
    509,510.80x = 764,568.60 × 193,999.60
  4. Step 4: Simplify right side
    509,510.80x = 148,326,002,572.56
  5. Step 5: Solve for x
    x = 148,326,002,572.56/509,510.80
  6. Step 6: Final answer
    x = 291,114.54

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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.