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Finding the Fourth Proportional to 324,210.86, 447,506.00 and 188,305.89

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Solution

The fourth proportional to 324,210.86, 447,506.00 and 188,305.89 is: 259,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,210.86 : 447,506.00 = 188,305.89 : x
  2. Step 2: Convert to fraction form
    324,210.86/447,506.00 = 188,305.89/x
  3. Step 3: Cross multiply
    324,210.86x = 447,506.00 × 188,305.89
  4. Step 4: Simplify right side
    324,210.86x = 84,268,016,081.10
  5. Step 5: Solve for x
    x = 84,268,016,081.10/324,210.86
  6. Step 6: Final answer
    x = 259,917.32

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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.