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Finding the Fourth Proportional to 393,876.50, 590,877.22 and 141,151.54

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Solution

The fourth proportional to 393,876.50, 590,877.22 and 141,151.54 is: 211,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,876.50 : 590,877.22 = 141,151.54 : x
  2. Step 2: Convert to fraction form
    393,876.50/590,877.22 = 141,151.54/x
  3. Step 3: Cross multiply
    393,876.50x = 590,877.22 × 141,151.54
  4. Step 4: Simplify right side
    393,876.50x = 83,403,227,723.85
  5. Step 5: Solve for x
    x = 83,403,227,723.85/393,876.50
  6. Step 6: Final answer
    x = 211,749.70

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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.