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Finding the Fourth Proportional to 312,530.60, 431,261.34 and 174,683.72

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Solution

The fourth proportional to 312,530.60, 431,261.34 and 174,683.72 is: 241,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,530.60 : 431,261.34 = 174,683.72 : x
  2. Step 2: Convert to fraction form
    312,530.60/431,261.34 = 174,683.72/x
  3. Step 3: Cross multiply
    312,530.60x = 431,261.34 × 174,683.72
  4. Step 4: Simplify right side
    312,530.60x = 75,334,335,163.38
  5. Step 5: Solve for x
    x = 75,334,335,163.38/312,530.60
  6. Step 6: Final answer
    x = 241,046.27

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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.