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Finding the Fourth Proportional to 360,062, 496,879.68 and 198,923.84

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Solution

The fourth proportional to 360,062, 496,879.68 and 198,923.84 is: 274,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,062 : 496,879.68 = 198,923.84 : x
  2. Step 2: Convert to fraction form
    360,062/496,879.68 = 198,923.84/x
  3. Step 3: Cross multiply
    360,062x = 496,879.68 × 198,923.84
  4. Step 4: Simplify right side
    360,062x = 98,841,213,963.57
  5. Step 5: Solve for x
    x = 98,841,213,963.57/360,062
  6. Step 6: Final answer
    x = 274,511.65

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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.