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Finding the Fourth Proportional to 394,404.49, 591,252.72 and 141,626.48

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Solution

The fourth proportional to 394,404.49, 591,252.72 and 141,626.48 is: 212,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,404.49 : 591,252.72 = 141,626.48 : x
  2. Step 2: Convert to fraction form
    394,404.49/591,252.72 = 141,626.48/x
  3. Step 3: Cross multiply
    394,404.49x = 591,252.72 × 141,626.48
  4. Step 4: Simplify right side
    394,404.49x = 83,737,038,036.66
  5. Step 5: Solve for x
    x = 83,737,038,036.66/394,404.49
  6. Step 6: Final answer
    x = 212,312.59

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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.