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Finding the Fourth Proportional to 314,610.34, 434,166.06 and 171,371.56

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Solution

The fourth proportional to 314,610.34, 434,166.06 and 171,371.56 is: 236,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,610.34 : 434,166.06 = 171,371.56 : x
  2. Step 2: Convert to fraction form
    314,610.34/434,166.06 = 171,371.56/x
  3. Step 3: Cross multiply
    314,610.34x = 434,166.06 × 171,371.56
  4. Step 4: Simplify right side
    314,610.34x = 74,403,715,001.25
  5. Step 5: Solve for x
    x = 74,403,715,001.25/314,610.34
  6. Step 6: Final answer
    x = 236,494.82

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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.