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Finding the Fourth Proportional to 509,658.40, 764,579.40 and 209,975.20

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Solution

The fourth proportional to 509,658.40, 764,579.40 and 209,975.20 is: 315,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,658.40 : 764,579.40 = 209,975.20 : x
  2. Step 2: Convert to fraction form
    509,658.40/764,579.40 = 209,975.20/x
  3. Step 3: Cross multiply
    509,658.40x = 764,579.40 × 209,975.20
  4. Step 4: Simplify right side
    509,658.40x = 160,542,712,430.88
  5. Step 5: Solve for x
    x = 160,542,712,430.88/509,658.40
  6. Step 6: Final answer
    x = 315,000.62

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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.