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Finding the Fourth Proportional to 342,274.89, 472,355.97 and 189,312.46

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Solution

The fourth proportional to 342,274.89, 472,355.97 and 189,312.46 is: 261,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,274.89 : 472,355.97 = 189,312.46 : x
  2. Step 2: Convert to fraction form
    342,274.89/472,355.97 = 189,312.46/x
  3. Step 3: Cross multiply
    342,274.89x = 472,355.97 × 189,312.46
  4. Step 4: Simplify right side
    342,274.89x = 89,422,870,676.39
  5. Step 5: Solve for x
    x = 89,422,870,676.39/342,274.89
  6. Step 6: Final answer
    x = 261,260.39

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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.