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Finding the Fourth Proportional to 494,296.42, 741,437.71 and 194,779.61

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Solution

The fourth proportional to 494,296.42, 741,437.71 and 194,779.61 is: 292,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,296.42 : 741,437.71 = 194,779.61 : x
  2. Step 2: Convert to fraction form
    494,296.42/741,437.71 = 194,779.61/x
  3. Step 3: Cross multiply
    494,296.42x = 741,437.71 × 194,779.61
  4. Step 4: Simplify right side
    494,296.42x = 144,416,947,993.09
  5. Step 5: Solve for x
    x = 144,416,947,993.09/494,296.42
  6. Step 6: Final answer
    x = 292,166.69

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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.