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Finding the Fourth Proportional to 342,415.92, 472,531.40 and 191,512.92

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Solution

The fourth proportional to 342,415.92, 472,531.40 and 191,512.92 is: 264,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,415.92 : 472,531.40 = 191,512.92 : x
  2. Step 2: Convert to fraction form
    342,415.92/472,531.40 = 191,512.92/x
  3. Step 3: Cross multiply
    342,415.92x = 472,531.40 × 191,512.92
  4. Step 4: Simplify right side
    342,415.92x = 90,495,868,205.69
  5. Step 5: Solve for x
    x = 90,495,868,205.69/342,415.92
  6. Step 6: Final answer
    x = 264,286.39

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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.