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Finding the Fourth Proportional to 509,761.74, 764,593.13 and 154,778.84

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Solution

The fourth proportional to 509,761.74, 764,593.13 and 154,778.84 is: 232,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,761.74 : 764,593.13 = 154,778.84 : x
  2. Step 2: Convert to fraction form
    509,761.74/764,593.13 = 154,778.84/x
  3. Step 3: Cross multiply
    509,761.74x = 764,593.13 × 154,778.84
  4. Step 4: Simplify right side
    509,761.74x = 118,342,834,297.35
  5. Step 5: Solve for x
    x = 118,342,834,297.35/509,761.74
  6. Step 6: Final answer
    x = 232,153.23

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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.