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Finding the Fourth Proportional to 357,959.28, 493,974.32 and 194,610.63

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Solution

The fourth proportional to 357,959.28, 493,974.32 and 194,610.63 is: 268,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,959.28 : 493,974.32 = 194,610.63 : x
  2. Step 2: Convert to fraction form
    357,959.28/493,974.32 = 194,610.63/x
  3. Step 3: Cross multiply
    357,959.28x = 493,974.32 × 194,610.63
  4. Step 4: Simplify right side
    357,959.28x = 96,132,651,635.68
  5. Step 5: Solve for x
    x = 96,132,651,635.68/357,959.28
  6. Step 6: Final answer
    x = 268,557.51

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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.