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Finding the Fourth Proportional to 314,652.48, 434,216.52 and 171,409.47

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Solution

The fourth proportional to 314,652.48, 434,216.52 and 171,409.47 is: 236,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,652.48 : 434,216.52 = 171,409.47 : x
  2. Step 2: Convert to fraction form
    314,652.48/434,216.52 = 171,409.47/x
  3. Step 3: Cross multiply
    314,652.48x = 434,216.52 × 171,409.47
  4. Step 4: Simplify right side
    314,652.48x = 74,428,823,558.44
  5. Step 5: Solve for x
    x = 74,428,823,558.44/314,652.48
  6. Step 6: Final answer
    x = 236,542.94

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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.