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Finding the Fourth Proportional to 342,716.82, 472,955.49 and 191,813.46

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Solution

The fourth proportional to 342,716.82, 472,955.49 and 191,813.46 is: 264,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,716.82 : 472,955.49 = 191,813.46 : x
  2. Step 2: Convert to fraction form
    342,716.82/472,955.49 = 191,813.46/x
  3. Step 3: Cross multiply
    342,716.82x = 472,955.49 × 191,813.46
  4. Step 4: Simplify right side
    342,716.82x = 90,719,228,962.90
  5. Step 5: Solve for x
    x = 90,719,228,962.90/342,716.82
  6. Step 6: Final answer
    x = 264,706.09

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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.