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Finding the Fourth Proportional to 306,893.16, 423,495.90 and 169,045.29

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Solution

The fourth proportional to 306,893.16, 423,495.90 and 169,045.29 is: 233,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,893.16 : 423,495.90 = 169,045.29 : x
  2. Step 2: Convert to fraction form
    306,893.16/423,495.90 = 169,045.29/x
  3. Step 3: Cross multiply
    306,893.16x = 423,495.90 × 169,045.29
  4. Step 4: Simplify right side
    306,893.16x = 71,589,987,229.31
  5. Step 5: Solve for x
    x = 71,589,987,229.31/306,893.16
  6. Step 6: Final answer
    x = 233,273.32

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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.