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Finding the Fourth Proportional to 509,669.40, 764,595.90 and 209,986.12

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Solution

The fourth proportional to 509,669.40, 764,595.90 and 209,986.12 is: 315,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,669.40 : 764,595.90 = 209,986.12 : x
  2. Step 2: Convert to fraction form
    509,669.40/764,595.90 = 209,986.12/x
  3. Step 3: Cross multiply
    509,669.40x = 764,595.90 × 209,986.12
  4. Step 4: Simplify right side
    509,669.40x = 160,554,526,408.91
  5. Step 5: Solve for x
    x = 160,554,526,408.91/509,669.40
  6. Step 6: Final answer
    x = 315,017.00

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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.