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Finding the Fourth Proportional to 568,871.86, 785,028.13 and 314,217.58

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Solution

The fourth proportional to 568,871.86, 785,028.13 and 314,217.58 is: 433,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,871.86 : 785,028.13 = 314,217.58 : x
  2. Step 2: Convert to fraction form
    568,871.86/785,028.13 = 314,217.58/x
  3. Step 3: Cross multiply
    568,871.86x = 785,028.13 × 314,217.58
  4. Step 4: Simplify right side
    568,871.86x = 246,669,639,240.53
  5. Step 5: Solve for x
    x = 246,669,639,240.53/568,871.86
  6. Step 6: Final answer
    x = 433,611.95

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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.