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Finding the Fourth Proportional to 385,796.45, 532,538.85 and 314,051.92

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Solution

The fourth proportional to 385,796.45, 532,538.85 and 314,051.92 is: 433,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,796.45 : 532,538.85 = 314,051.92 : x
  2. Step 2: Convert to fraction form
    385,796.45/532,538.85 = 314,051.92/x
  3. Step 3: Cross multiply
    385,796.45x = 532,538.85 × 314,051.92
  4. Step 4: Simplify right side
    385,796.45x = 167,244,848,163.44
  5. Step 5: Solve for x
    x = 167,244,848,163.44/385,796.45
  6. Step 6: Final answer
    x = 433,505.41

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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.