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Finding the Fourth Proportional to 508,815.66, 763,198.86 and 193,247.94

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Solution

The fourth proportional to 508,815.66, 763,198.86 and 193,247.94 is: 289,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,815.66 : 763,198.86 = 193,247.94 : x
  2. Step 2: Convert to fraction form
    508,815.66/763,198.86 = 193,247.94/x
  3. Step 3: Cross multiply
    508,815.66x = 763,198.86 × 193,247.94
  4. Step 4: Simplify right side
    508,815.66x = 147,486,607,505.35
  5. Step 5: Solve for x
    x = 147,486,607,505.35/508,815.66
  6. Step 6: Final answer
    x = 289,862.56

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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.