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Finding the Fourth Proportional to 314,737.24, 434,331.78 and 171,498.52

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Solution

The fourth proportional to 314,737.24, 434,331.78 and 171,498.52 is: 236,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,737.24 : 434,331.78 = 171,498.52 : x
  2. Step 2: Convert to fraction form
    314,737.24/434,331.78 = 171,498.52/x
  3. Step 3: Cross multiply
    314,737.24x = 434,331.78 × 171,498.52
  4. Step 4: Simplify right side
    314,737.24x = 74,487,257,458.97
  5. Step 5: Solve for x
    x = 74,487,257,458.97/314,737.24
  6. Step 6: Final answer
    x = 236,664.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.