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Finding the Fourth Proportional to 509,566.20, 764,349.30 and 209,947.20

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Solution

The fourth proportional to 509,566.20, 764,349.30 and 209,947.20 is: 314,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,566.20 : 764,349.30 = 209,947.20 : x
  2. Step 2: Convert to fraction form
    509,566.20/764,349.30 = 209,947.20/x
  3. Step 3: Cross multiply
    509,566.20x = 764,349.30 × 209,947.20
  4. Step 4: Simplify right side
    509,566.20x = 160,472,995,356.96
  5. Step 5: Solve for x
    x = 160,472,995,356.96/509,566.20
  6. Step 6: Final answer
    x = 314,920.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.