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Finding the Fourth Proportional to 509,520.80, 764,583.60 and 194,009.60

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Solution

The fourth proportional to 509,520.80, 764,583.60 and 194,009.60 is: 291,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,520.80 : 764,583.60 = 194,009.60 : x
  2. Step 2: Convert to fraction form
    509,520.80/764,583.60 = 194,009.60/x
  3. Step 3: Cross multiply
    509,520.80x = 764,583.60 × 194,009.60
  4. Step 4: Simplify right side
    509,520.80x = 148,336,558,402.56
  5. Step 5: Solve for x
    x = 148,336,558,402.56/509,520.80
  6. Step 6: Final answer
    x = 291,129.54

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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.