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Finding the Fourth Proportional to 342,913.87, 473,227.86 and 205,234.57

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Solution

The fourth proportional to 342,913.87, 473,227.86 and 205,234.57 is: 283,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,913.87 : 473,227.86 = 205,234.57 : x
  2. Step 2: Convert to fraction form
    342,913.87/473,227.86 = 205,234.57/x
  3. Step 3: Cross multiply
    342,913.87x = 473,227.86 × 205,234.57
  4. Step 4: Simplify right side
    342,913.87x = 97,122,716,359.12
  5. Step 5: Solve for x
    x = 97,122,716,359.12/342,913.87
  6. Step 6: Final answer
    x = 283,227.73

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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.