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Finding the Fourth Proportional to 509,938.80, 764,908.20 and 177,514.80

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Solution

The fourth proportional to 509,938.80, 764,908.20 and 177,514.80 is: 266,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,938.80 : 764,908.20 = 177,514.80 : x
  2. Step 2: Convert to fraction form
    509,938.80/764,908.20 = 177,514.80/x
  3. Step 3: Cross multiply
    509,938.80x = 764,908.20 × 177,514.80
  4. Step 4: Simplify right side
    509,938.80x = 135,782,526,141.36
  5. Step 5: Solve for x
    x = 135,782,526,141.36/509,938.80
  6. Step 6: Final answer
    x = 266,272.20

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Double scale
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Similar ratio
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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.