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Finding the Fourth Proportional to 312,574.55, 431,352.34 and 169,338.20

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Solution

The fourth proportional to 312,574.55, 431,352.34 and 169,338.20 is: 233,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,574.55 : 431,352.34 = 169,338.20 : x
  2. Step 2: Convert to fraction form
    312,574.55/431,352.34 = 169,338.20/x
  3. Step 3: Cross multiply
    312,574.55x = 431,352.34 × 169,338.20
  4. Step 4: Simplify right side
    312,574.55x = 73,044,426,241.28
  5. Step 5: Solve for x
    x = 73,044,426,241.28/312,574.55
  6. Step 6: Final answer
    x = 233,686.42

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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.