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Finding the Fourth Proportional to 338,098.50, 466,575.93 and 187,195.50

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Solution

The fourth proportional to 338,098.50, 466,575.93 and 187,195.50 is: 258,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,098.50 : 466,575.93 = 187,195.50 : x
  2. Step 2: Convert to fraction form
    338,098.50/466,575.93 = 187,195.50/x
  3. Step 3: Cross multiply
    338,098.50x = 466,575.93 × 187,195.50
  4. Step 4: Simplify right side
    338,098.50x = 87,340,914,504.32
  5. Step 5: Solve for x
    x = 87,340,914,504.32/338,098.50
  6. Step 6: Final answer
    x = 258,329.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.