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Finding the Fourth Proportional to 342,334.14, 472,418.34 and 191,431.14

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Solution

The fourth proportional to 342,334.14, 472,418.34 and 191,431.14 is: 264,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,334.14 : 472,418.34 = 191,431.14 : x
  2. Step 2: Convert to fraction form
    342,334.14/472,418.34 = 191,431.14/x
  3. Step 3: Cross multiply
    342,334.14x = 472,418.34 × 191,431.14
  4. Step 4: Simplify right side
    342,334.14x = 90,435,581,383.11
  5. Step 5: Solve for x
    x = 90,435,581,383.11/342,334.14
  6. Step 6: Final answer
    x = 264,173.42

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1.5x scale

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.