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Finding the Fourth Proportional to 412,072.74, 568,748.25 and 242,403.66

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Solution

The fourth proportional to 412,072.74, 568,748.25 and 242,403.66 is: 334,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,072.74 : 568,748.25 = 242,403.66 : x
  2. Step 2: Convert to fraction form
    412,072.74/568,748.25 = 242,403.66/x
  3. Step 3: Cross multiply
    412,072.74x = 568,748.25 × 242,403.66
  4. Step 4: Simplify right side
    412,072.74x = 137,866,657,418.60
  5. Step 5: Solve for x
    x = 137,866,657,418.60/412,072.74
  6. Step 6: Final answer
    x = 334,568.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.