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Finding the Fourth Proportional to 509,223.40, 764,651.10 and 404,909.80

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Solution

The fourth proportional to 509,223.40, 764,651.10 and 404,909.80 is: 608,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,223.40 : 764,651.10 = 404,909.80 : x
  2. Step 2: Convert to fraction form
    509,223.40/764,651.10 = 404,909.80/x
  3. Step 3: Cross multiply
    509,223.40x = 764,651.10 × 404,909.80
  4. Step 4: Simplify right side
    509,223.40x = 309,614,723,970.78
  5. Step 5: Solve for x
    x = 309,614,723,970.78/509,223.40
  6. Step 6: Final answer
    x = 608,013.54

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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.