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Finding the Fourth Proportional to 509,188.05, 763,892.24 and 193,650.93

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Solution

The fourth proportional to 509,188.05, 763,892.24 and 193,650.93 is: 290,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,188.05 : 763,892.24 = 193,650.93 : x
  2. Step 2: Convert to fraction form
    509,188.05/763,892.24 = 193,650.93/x
  3. Step 3: Cross multiply
    509,188.05x = 763,892.24 × 193,650.93
  4. Step 4: Simplify right side
    509,188.05x = 147,928,441,727.53
  5. Step 5: Solve for x
    x = 147,928,441,727.53/509,188.05
  6. Step 6: Final answer
    x = 290,518.29

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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.