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Finding the Fourth Proportional to 340,625.34, 510,620.31 and 115,832.16

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Solution

The fourth proportional to 340,625.34, 510,620.31 and 115,832.16 is: 173,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,625.34 : 510,620.31 = 115,832.16 : x
  2. Step 2: Convert to fraction form
    340,625.34/510,620.31 = 115,832.16/x
  3. Step 3: Cross multiply
    340,625.34x = 510,620.31 × 115,832.16
  4. Step 4: Simplify right side
    340,625.34x = 59,146,253,447.17
  5. Step 5: Solve for x
    x = 59,146,253,447.17/340,625.34
  6. Step 6: Final answer
    x = 173,640.20

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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.