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Finding the Fourth Proportional to 338,816.78, 508,272.01 and 114,241.44

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Solution

The fourth proportional to 338,816.78, 508,272.01 and 114,241.44 is: 171,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,816.78 : 508,272.01 = 114,241.44 : x
  2. Step 2: Convert to fraction form
    338,816.78/508,272.01 = 114,241.44/x
  3. Step 3: Cross multiply
    338,816.78x = 508,272.01 × 114,241.44
  4. Step 4: Simplify right side
    338,816.78x = 58,065,726,048.49
  5. Step 5: Solve for x
    x = 58,065,726,048.49/338,816.78
  6. Step 6: Final answer
    x = 171,377.96

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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.