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Finding the Fourth Proportional to 349,126.77, 523,919.79 and 191,465.94

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Solution

The fourth proportional to 349,126.77, 523,919.79 and 191,465.94 is: 287,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,126.77 : 523,919.79 = 191,465.94 : x
  2. Step 2: Convert to fraction form
    349,126.77/523,919.79 = 191,465.94/x
  3. Step 3: Cross multiply
    349,126.77x = 523,919.79 × 191,465.94
  4. Step 4: Simplify right side
    349,126.77x = 100,312,795,076.95
  5. Step 5: Solve for x
    x = 100,312,795,076.95/349,126.77
  6. Step 6: Final answer
    x = 287,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.