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Finding the Fourth Proportional to 297,108, 410,009.72 and 169,783.29

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Solution

The fourth proportional to 297,108, 410,009.72 and 169,783.29 is: 234,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,108 : 410,009.72 = 169,783.29 : x
  2. Step 2: Convert to fraction form
    297,108/410,009.72 = 169,783.29/x
  3. Step 3: Cross multiply
    297,108x = 410,009.72 × 169,783.29
  4. Step 4: Simplify right side
    297,108x = 69,612,798,344.66
  5. Step 5: Solve for x
    x = 69,612,798,344.66/297,108
  6. Step 6: Final answer
    x = 234,301.33

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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.