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Finding the Fourth Proportional to 354,452.70, 531,342.66 and 141,351.42

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Solution

The fourth proportional to 354,452.70, 531,342.66 and 141,351.42 is: 211,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,452.70 : 531,342.66 = 141,351.42 : x
  2. Step 2: Convert to fraction form
    354,452.70/531,342.66 = 141,351.42/x
  3. Step 3: Cross multiply
    354,452.70x = 531,342.66 × 141,351.42
  4. Step 4: Simplify right side
    354,452.70x = 75,106,039,497.58
  5. Step 5: Solve for x
    x = 75,106,039,497.58/354,452.70
  6. Step 6: Final answer
    x = 211,892.98

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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.