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Finding the Fourth Proportional to 334,455.38, 461,548.42 and 200,319.38

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Solution

The fourth proportional to 334,455.38, 461,548.42 and 200,319.38 is: 276,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,455.38 : 461,548.42 = 200,319.38 : x
  2. Step 2: Convert to fraction form
    334,455.38/461,548.42 = 200,319.38/x
  3. Step 3: Cross multiply
    334,455.38x = 461,548.42 × 200,319.38
  4. Step 4: Simplify right side
    334,455.38x = 92,457,093,334.38
  5. Step 5: Solve for x
    x = 92,457,093,334.38/334,455.38
  6. Step 6: Final answer
    x = 276,440.74

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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.