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Finding the Fourth Proportional to 394,531.32, 591,801.32 and 114,051

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Solution

The fourth proportional to 394,531.32, 591,801.32 and 114,051 is: 171,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,531.32 : 591,801.32 = 114,051 : x
  2. Step 2: Convert to fraction form
    394,531.32/591,801.32 = 114,051/x
  3. Step 3: Cross multiply
    394,531.32x = 591,801.32 × 114,051
  4. Step 4: Simplify right side
    394,531.32x = 67,495,532,347.32
  5. Step 5: Solve for x
    x = 67,495,532,347.32/394,531.32
  6. Step 6: Final answer
    x = 171,077.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.