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Finding the Fourth Proportional to 364,049.67, 502,390.89 and 202,914.96

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Solution

The fourth proportional to 364,049.67, 502,390.89 and 202,914.96 is: 280,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,049.67 : 502,390.89 = 202,914.96 : x
  2. Step 2: Convert to fraction form
    364,049.67/502,390.89 = 202,914.96/x
  3. Step 3: Cross multiply
    364,049.67x = 502,390.89 × 202,914.96
  4. Step 4: Simplify right side
    364,049.67x = 101,942,625,464.75
  5. Step 5: Solve for x
    x = 101,942,625,464.75/364,049.67
  6. Step 6: Final answer
    x = 280,023.94

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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.