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Finding the Fourth Proportional to 297,208, 410,147 and 169,886.33

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Solution

The fourth proportional to 297,208, 410,147 and 169,886.33 is: 234,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,208 : 410,147 = 169,886.33 : x
  2. Step 2: Convert to fraction form
    297,208/410,147 = 169,886.33/x
  3. Step 3: Cross multiply
    297,208x = 410,147 × 169,886.33
  4. Step 4: Simplify right side
    297,208x = 69,678,368,590.51
  5. Step 5: Solve for x
    x = 69,678,368,590.51/297,208
  6. Step 6: Final answer
    x = 234,443.11

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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.