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Finding the Fourth Proportional to 342,049.67, 472,028.27 and 206,089.35

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Solution

The fourth proportional to 342,049.67, 472,028.27 and 206,089.35 is: 284,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,049.67 : 472,028.27 = 206,089.35 : x
  2. Step 2: Convert to fraction form
    342,049.67/472,028.27 = 206,089.35/x
  3. Step 3: Cross multiply
    342,049.67x = 472,028.27 × 206,089.35
  4. Step 4: Simplify right side
    342,049.67x = 97,279,999,345.92
  5. Step 5: Solve for x
    x = 97,279,999,345.92/342,049.67
  6. Step 6: Final answer
    x = 284,403.14

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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.