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Finding the Fourth Proportional to 360,309.82, 497,227.68 and 199,164.83

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Solution

The fourth proportional to 360,309.82, 497,227.68 and 199,164.83 is: 274,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,309.82 : 497,227.68 = 199,164.83 : x
  2. Step 2: Convert to fraction form
    360,309.82/497,227.68 = 199,164.83/x
  3. Step 3: Cross multiply
    360,309.82x = 497,227.68 × 199,164.83
  4. Step 4: Simplify right side
    360,309.82x = 99,030,266,358.49
  5. Step 5: Solve for x
    x = 99,030,266,358.49/360,309.82
  6. Step 6: Final answer
    x = 274,847.54

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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.