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Finding the Fourth Proportional to 365,029.83, 503,738.22 and 201,685.83

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Solution

The fourth proportional to 365,029.83, 503,738.22 and 201,685.83 is: 278,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,029.83 : 503,738.22 = 201,685.83 : x
  2. Step 2: Convert to fraction form
    365,029.83/503,738.22 = 201,685.83/x
  3. Step 3: Cross multiply
    365,029.83x = 503,738.22 × 201,685.83
  4. Step 4: Simplify right side
    365,029.83x = 101,596,861,003.42
  5. Step 5: Solve for x
    x = 101,596,861,003.42/365,029.83
  6. Step 6: Final answer
    x = 278,324.82

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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.