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Finding the Fourth Proportional to 509,227.32, 763,828.02 and 243,175.80

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Solution

The fourth proportional to 509,227.32, 763,828.02 and 243,175.80 is: 364,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,227.32 : 763,828.02 = 243,175.80 : x
  2. Step 2: Convert to fraction form
    509,227.32/763,828.02 = 243,175.80/x
  3. Step 3: Cross multiply
    509,227.32x = 763,828.02 × 243,175.80
  4. Step 4: Simplify right side
    509,227.32x = 185,744,489,825.92
  5. Step 5: Solve for x
    x = 185,744,489,825.92/509,227.32
  6. Step 6: Final answer
    x = 364,757.51

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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.