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Finding the Fourth Proportional to 314,554.17, 434,085.24 and 171,314.78

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Solution

The fourth proportional to 314,554.17, 434,085.24 and 171,314.78 is: 236,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,554.17 : 434,085.24 = 171,314.78 : x
  2. Step 2: Convert to fraction form
    314,554.17/434,085.24 = 171,314.78/x
  3. Step 3: Cross multiply
    314,554.17x = 434,085.24 × 171,314.78
  4. Step 4: Simplify right side
    314,554.17x = 74,365,217,391.85
  5. Step 5: Solve for x
    x = 74,365,217,391.85/314,554.17
  6. Step 6: Final answer
    x = 236,414.66

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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.