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Finding the Fourth Proportional to 412,070.49, 568,745.15 and 242,401.41

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Solution

The fourth proportional to 412,070.49, 568,745.15 and 242,401.41 is: 334,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,070.49 : 568,745.15 = 242,401.41 : x
  2. Step 2: Convert to fraction form
    412,070.49/568,745.15 = 242,401.41/x
  3. Step 3: Cross multiply
    412,070.49x = 568,745.15 × 242,401.41
  4. Step 4: Simplify right side
    412,070.49x = 137,864,625,078.65
  5. Step 5: Solve for x
    x = 137,864,625,078.65/412,070.49
  6. Step 6: Final answer
    x = 334,565.63

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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.