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Finding the Fourth Proportional to 509,512.80, 764,571.60 and 194,001.60

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Solution

The fourth proportional to 509,512.80, 764,571.60 and 194,001.60 is: 291,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,512.80 : 764,571.60 = 194,001.60 : x
  2. Step 2: Convert to fraction form
    509,512.80/764,571.60 = 194,001.60/x
  3. Step 3: Cross multiply
    509,512.80x = 764,571.60 × 194,001.60
  4. Step 4: Simplify right side
    509,512.80x = 148,328,113,714.56
  5. Step 5: Solve for x
    x = 148,328,113,714.56/509,512.80
  6. Step 6: Final answer
    x = 291,117.54

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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.