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Finding the Fourth Proportional to 509,713.02, 764,557.11 and 209,986.02

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Solution

The fourth proportional to 509,713.02, 764,557.11 and 209,986.02 is: 314,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,713.02 : 764,557.11 = 209,986.02 : x
  2. Step 2: Convert to fraction form
    509,713.02/764,557.11 = 209,986.02/x
  3. Step 3: Cross multiply
    509,713.02x = 764,557.11 × 209,986.02
  4. Step 4: Simplify right side
    509,713.02x = 160,546,304,591.60
  5. Step 5: Solve for x
    x = 160,546,304,591.60/509,713.02
  6. Step 6: Final answer
    x = 314,973.91

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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.