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Finding the Fourth Proportional to 334,201.19, 501,360.23 and 199,372.64

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Solution

The fourth proportional to 334,201.19, 501,360.23 and 199,372.64 is: 299,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,201.19 : 501,360.23 = 199,372.64 : x
  2. Step 2: Convert to fraction form
    334,201.19/501,360.23 = 199,372.64/x
  3. Step 3: Cross multiply
    334,201.19x = 501,360.23 × 199,372.64
  4. Step 4: Simplify right side
    334,201.19x = 99,957,510,637.74
  5. Step 5: Solve for x
    x = 99,957,510,637.74/334,201.19
  6. Step 6: Final answer
    x = 299,093.82

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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.