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Finding the Fourth Proportional to 416,651.64, 625,006.89 and 206,233.08

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Solution

The fourth proportional to 416,651.64, 625,006.89 and 206,233.08 is: 309,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,651.64 : 625,006.89 = 206,233.08 : x
  2. Step 2: Convert to fraction form
    416,651.64/625,006.89 = 206,233.08/x
  3. Step 3: Cross multiply
    416,651.64x = 625,006.89 × 206,233.08
  4. Step 4: Simplify right side
    416,651.64x = 128,897,095,945.92
  5. Step 5: Solve for x
    x = 128,897,095,945.92/416,651.64
  6. Step 6: Final answer
    x = 309,364.19

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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.