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Finding the Fourth Proportional to 314,474.73, 433,973.28 and 171,234.42

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Solution

The fourth proportional to 314,474.73, 433,973.28 and 171,234.42 is: 236,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,474.73 : 433,973.28 = 171,234.42 : x
  2. Step 2: Convert to fraction form
    314,474.73/433,973.28 = 171,234.42/x
  3. Step 3: Cross multiply
    314,474.73x = 433,973.28 × 171,234.42
  4. Step 4: Simplify right side
    314,474.73x = 74,311,162,896.30
  5. Step 5: Solve for x
    x = 74,311,162,896.30/314,474.73
  6. Step 6: Final answer
    x = 236,302.49

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1.5x scale

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.