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Finding the Fourth Proportional to 365,065.86, 503,780.28 and 201,719.77

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Solution

The fourth proportional to 365,065.86, 503,780.28 and 201,719.77 is: 278,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,065.86 : 503,780.28 = 201,719.77 : x
  2. Step 2: Convert to fraction form
    365,065.86/503,780.28 = 201,719.77/x
  3. Step 3: Cross multiply
    365,065.86x = 503,780.28 × 201,719.77
  4. Step 4: Simplify right side
    365,065.86x = 101,622,440,700.54
  5. Step 5: Solve for x
    x = 101,622,440,700.54/365,065.86
  6. Step 6: Final answer
    x = 278,367.42

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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.