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Finding the Fourth Proportional to 409,693.52, 614,730.36 and 173,091.44

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Solution

The fourth proportional to 409,693.52, 614,730.36 and 173,091.44 is: 259,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,693.52 : 614,730.36 = 173,091.44 : x
  2. Step 2: Convert to fraction form
    409,693.52/614,730.36 = 173,091.44/x
  3. Step 3: Cross multiply
    409,693.52x = 614,730.36 × 173,091.44
  4. Step 4: Simplify right side
    409,693.52x = 106,404,563,224.12
  5. Step 5: Solve for x
    x = 106,404,563,224.12/409,693.52
  6. Step 6: Final answer
    x = 259,717.47

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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.