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Finding the Fourth Proportional to 509,502.20, 764,253.30 and 209,883.20

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Solution

The fourth proportional to 509,502.20, 764,253.30 and 209,883.20 is: 314,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,502.20 : 764,253.30 = 209,883.20 : x
  2. Step 2: Convert to fraction form
    509,502.20/764,253.30 = 209,883.20/x
  3. Step 3: Cross multiply
    509,502.20x = 764,253.30 × 209,883.20
  4. Step 4: Simplify right side
    509,502.20x = 160,403,928,214.56
  5. Step 5: Solve for x
    x = 160,403,928,214.56/509,502.20
  6. Step 6: Final answer
    x = 314,824.80

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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.