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Finding the Fourth Proportional to 337,879.40, 466,199.16 and 201,893

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Solution

The fourth proportional to 337,879.40, 466,199.16 and 201,893 is: 278,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,879.40 : 466,199.16 = 201,893 : x
  2. Step 2: Convert to fraction form
    337,879.40/466,199.16 = 201,893/x
  3. Step 3: Cross multiply
    337,879.40x = 466,199.16 × 201,893
  4. Step 4: Simplify right side
    337,879.40x = 94,122,347,009.88
  5. Step 5: Solve for x
    x = 94,122,347,009.88/337,879.40
  6. Step 6: Final answer
    x = 278,567.88

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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.