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Finding the Fourth Proportional to 312,415.68, 431,134.74 and 169,175.28

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Solution

The fourth proportional to 312,415.68, 431,134.74 and 169,175.28 is: 233,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,415.68 : 431,134.74 = 169,175.28 : x
  2. Step 2: Convert to fraction form
    312,415.68/431,134.74 = 169,175.28/x
  3. Step 3: Cross multiply
    312,415.68x = 431,134.74 × 169,175.28
  4. Step 4: Simplify right side
    312,415.68x = 72,937,340,357.23
  5. Step 5: Solve for x
    x = 72,937,340,357.23/312,415.68
  6. Step 6: Final answer
    x = 233,462.48

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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.