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Finding the Fourth Proportional to 297,879.47, 446,678.78 and 108,206.13

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Solution

The fourth proportional to 297,879.47, 446,678.78 and 108,206.13 is: 162,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,879.47 : 446,678.78 = 108,206.13 : x
  2. Step 2: Convert to fraction form
    297,879.47/446,678.78 = 108,206.13/x
  3. Step 3: Cross multiply
    297,879.47x = 446,678.78 × 108,206.13
  4. Step 4: Simplify right side
    297,879.47x = 48,333,382,407.44
  5. Step 5: Solve for x
    x = 48,333,382,407.44/297,879.47
  6. Step 6: Final answer
    x = 162,258.18

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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.