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Finding the Fourth Proportional to 614,198.44, 847,619.96 and 342,266.68

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Solution

The fourth proportional to 614,198.44, 847,619.96 and 342,266.68 is: 472,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,198.44 : 847,619.96 = 342,266.68 : x
  2. Step 2: Convert to fraction form
    614,198.44/847,619.96 = 342,266.68/x
  3. Step 3: Cross multiply
    614,198.44x = 847,619.96 × 342,266.68
  4. Step 4: Simplify right side
    614,198.44x = 290,112,069,610.93
  5. Step 5: Solve for x
    x = 290,112,069,610.93/614,198.44
  6. Step 6: Final answer
    x = 472,342.57

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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.