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Finding the Fourth Proportional to 413,734.72, 620,602.12 and 133,251.97

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Solution

The fourth proportional to 413,734.72, 620,602.12 and 133,251.97 is: 199,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,734.72 : 620,602.12 = 133,251.97 : x
  2. Step 2: Convert to fraction form
    413,734.72/620,602.12 = 133,251.97/x
  3. Step 3: Cross multiply
    413,734.72x = 620,602.12 × 133,251.97
  4. Step 4: Simplify right side
    413,734.72x = 82,696,454,409.92
  5. Step 5: Solve for x
    x = 82,696,454,409.92/413,734.72
  6. Step 6: Final answer
    x = 199,877.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.