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Finding the Fourth Proportional to 342,745.12, 472,841.71 and 206,701.71

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Solution

The fourth proportional to 342,745.12, 472,841.71 and 206,701.71 is: 285,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,745.12 : 472,841.71 = 206,701.71 : x
  2. Step 2: Convert to fraction form
    342,745.12/472,841.71 = 206,701.71/x
  3. Step 3: Cross multiply
    342,745.12x = 472,841.71 × 206,701.71
  4. Step 4: Simplify right side
    342,745.12x = 97,737,190,016.32
  5. Step 5: Solve for x
    x = 97,737,190,016.32/342,745.12
  6. Step 6: Final answer
    x = 285,159.98

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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.