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Finding the Fourth Proportional to 342,006.98, 471,961.37 and 186,951.38

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Solution

The fourth proportional to 342,006.98, 471,961.37 and 186,951.38 is: 257,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.98 : 471,961.37 = 186,951.38 : x
  2. Step 2: Convert to fraction form
    342,006.98/471,961.37 = 186,951.38/x
  3. Step 3: Cross multiply
    342,006.98x = 471,961.37 × 186,951.38
  4. Step 4: Simplify right side
    342,006.98x = 88,233,829,428.19
  5. Step 5: Solve for x
    x = 88,233,829,428.19/342,006.98
  6. Step 6: Final answer
    x = 257,988.39

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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.