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Finding the Fourth Proportional to 412,069.74, 568,744.11 and 242,400.66

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Solution

The fourth proportional to 412,069.74, 568,744.11 and 242,400.66 is: 334,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,069.74 : 568,744.11 = 242,400.66 : x
  2. Step 2: Convert to fraction form
    412,069.74/568,744.11 = 242,400.66/x
  3. Step 3: Cross multiply
    412,069.74x = 568,744.11 × 242,400.66
  4. Step 4: Simplify right side
    412,069.74x = 137,863,947,635.11
  5. Step 5: Solve for x
    x = 137,863,947,635.11/412,069.74
  6. Step 6: Final answer
    x = 334,564.60

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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.