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Finding the Fourth Proportional to 364,408.53, 502,906.30 and 201,064.24

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Solution

The fourth proportional to 364,408.53, 502,906.30 and 201,064.24 is: 277,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,408.53 : 502,906.30 = 201,064.24 : x
  2. Step 2: Convert to fraction form
    364,408.53/502,906.30 = 201,064.24/x
  3. Step 3: Cross multiply
    364,408.53x = 502,906.30 × 201,064.24
  4. Step 4: Simplify right side
    364,408.53x = 101,116,471,240.79
  5. Step 5: Solve for x
    x = 101,116,471,240.79/364,408.53
  6. Step 6: Final answer
    x = 277,481.08

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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.