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Finding the Fourth Proportional to 338,101.75, 466,595 and 187,198.75

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Solution

The fourth proportional to 338,101.75, 466,595 and 187,198.75 is: 258,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,101.75 : 466,595 = 187,198.75 : x
  2. Step 2: Convert to fraction form
    338,101.75/466,595 = 187,198.75/x
  3. Step 3: Cross multiply
    338,101.75x = 466,595 × 187,198.75
  4. Step 4: Simplify right side
    338,101.75x = 87,346,000,756.25
  5. Step 5: Solve for x
    x = 87,346,000,756.25/338,101.75
  6. Step 6: Final answer
    x = 258,342.35

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1.5x scale

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.