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Finding the Fourth Proportional to 360,257.80, 497,181.50 and 199,109.38

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Solution

The fourth proportional to 360,257.80, 497,181.50 and 199,109.38 is: 274,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,257.80 : 497,181.50 = 199,109.38 : x
  2. Step 2: Convert to fraction form
    360,257.80/497,181.50 = 199,109.38/x
  3. Step 3: Cross multiply
    360,257.80x = 497,181.50 × 199,109.38
  4. Step 4: Simplify right side
    360,257.80x = 98,993,500,212.47
  5. Step 5: Solve for x
    x = 98,993,500,212.47/360,257.80
  6. Step 6: Final answer
    x = 274,785.17

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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.