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Finding the Fourth Proportional to 416,653.14, 625,009.14 and 206,234.58

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Solution

The fourth proportional to 416,653.14, 625,009.14 and 206,234.58 is: 309,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,653.14 : 625,009.14 = 206,234.58 : x
  2. Step 2: Convert to fraction form
    416,653.14/625,009.14 = 206,234.58/x
  3. Step 3: Cross multiply
    416,653.14x = 625,009.14 × 206,234.58
  4. Step 4: Simplify right side
    416,653.14x = 128,898,497,484.06
  5. Step 5: Solve for x
    x = 128,898,497,484.06/416,653.14
  6. Step 6: Final answer
    x = 309,366.44

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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.