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Finding the Fourth Proportional to 314,596.31, 434,149.57 and 171,356.01

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Solution

The fourth proportional to 314,596.31, 434,149.57 and 171,356.01 is: 236,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,596.31 : 434,149.57 = 171,356.01 : x
  2. Step 2: Convert to fraction form
    314,596.31/434,149.57 = 171,356.01/x
  3. Step 3: Cross multiply
    314,596.31x = 434,149.57 × 171,356.01
  4. Step 4: Simplify right side
    314,596.31x = 74,394,136,644.55
  5. Step 5: Solve for x
    x = 74,394,136,644.55/314,596.31
  6. Step 6: Final answer
    x = 236,474.92

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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.