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Finding the Fourth Proportional to 407,229.76, 610,863.84 and 336,020.32

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Solution

The fourth proportional to 407,229.76, 610,863.84 and 336,020.32 is: 504,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,229.76 : 610,863.84 = 336,020.32 : x
  2. Step 2: Convert to fraction form
    407,229.76/610,863.84 = 336,020.32/x
  3. Step 3: Cross multiply
    407,229.76x = 610,863.84 × 336,020.32
  4. Step 4: Simplify right side
    407,229.76x = 205,262,662,993.23
  5. Step 5: Solve for x
    x = 205,262,662,993.23/407,229.76
  6. Step 6: Final answer
    x = 504,046.32

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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.