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Finding the Fourth Proportional to 362,446.34, 500,182.13 and 199,109.72

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Solution

The fourth proportional to 362,446.34, 500,182.13 and 199,109.72 is: 274,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,446.34 : 500,182.13 = 199,109.72 : x
  2. Step 2: Convert to fraction form
    362,446.34/500,182.13 = 199,109.72/x
  3. Step 3: Cross multiply
    362,446.34x = 500,182.13 × 199,109.72
  4. Step 4: Simplify right side
    362,446.34x = 99,591,123,853.30
  5. Step 5: Solve for x
    x = 99,591,123,853.30/362,446.34
  6. Step 6: Final answer
    x = 274,774.81

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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.