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Finding the Fourth Proportional to 338,578.31, 467,271.50 and 193,405.82

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Solution

The fourth proportional to 338,578.31, 467,271.50 and 193,405.82 is: 266,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,578.31 : 467,271.50 = 193,405.82 : x
  2. Step 2: Convert to fraction form
    338,578.31/467,271.50 = 193,405.82/x
  3. Step 3: Cross multiply
    338,578.31x = 467,271.50 × 193,405.82
  4. Step 4: Simplify right side
    338,578.31x = 90,373,024,316.74
  5. Step 5: Solve for x
    x = 90,373,024,316.74/338,578.31
  6. Step 6: Final answer
    x = 266,919.12

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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.