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Finding the Fourth Proportional to 353,489, 487,814.82 and 194,513

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Solution

The fourth proportional to 353,489, 487,814.82 and 194,513 is: 268,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,489 : 487,814.82 = 194,513 : x
  2. Step 2: Convert to fraction form
    353,489/487,814.82 = 194,513/x
  3. Step 3: Cross multiply
    353,489x = 487,814.82 × 194,513
  4. Step 4: Simplify right side
    353,489x = 94,886,324,082.66
  5. Step 5: Solve for x
    x = 94,886,324,082.66/353,489
  6. Step 6: Final answer
    x = 268,427.94

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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.