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Finding the Fourth Proportional to 458,255.48, 687,107.10 and 205,490.22

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Solution

The fourth proportional to 458,255.48, 687,107.10 and 205,490.22 is: 308,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,255.48 : 687,107.10 = 205,490.22 : x
  2. Step 2: Convert to fraction form
    458,255.48/687,107.10 = 205,490.22/x
  3. Step 3: Cross multiply
    458,255.48x = 687,107.10 × 205,490.22
  4. Step 4: Simplify right side
    458,255.48x = 141,193,787,336.50
  5. Step 5: Solve for x
    x = 141,193,787,336.50/458,255.48
  6. Step 6: Final answer
    x = 308,111.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.