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Finding the Fourth Proportional to 357,815.62, 493,789.38 and 194,472.12

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Solution

The fourth proportional to 357,815.62, 493,789.38 and 194,472.12 is: 268,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,815.62 : 493,789.38 = 194,472.12 : x
  2. Step 2: Convert to fraction form
    357,815.62/493,789.38 = 194,472.12/x
  3. Step 3: Cross multiply
    357,815.62x = 493,789.38 × 194,472.12
  4. Step 4: Simplify right side
    357,815.62x = 96,028,267,562.09
  5. Step 5: Solve for x
    x = 96,028,267,562.09/357,815.62
  6. Step 6: Final answer
    x = 268,373.60

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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.