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Finding the Fourth Proportional to 338,884.80, 508,261.59 and 114,221.58

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Solution

The fourth proportional to 338,884.80, 508,261.59 and 114,221.58 is: 171,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,884.80 : 508,261.59 = 114,221.58 : x
  2. Step 2: Convert to fraction form
    338,884.80/508,261.59 = 114,221.58/x
  3. Step 3: Cross multiply
    338,884.80x = 508,261.59 × 114,221.58
  4. Step 4: Simplify right side
    338,884.80x = 58,054,441,863.11
  5. Step 5: Solve for x
    x = 58,054,441,863.11/338,884.80
  6. Step 6: Final answer
    x = 171,310.26

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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.