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Finding the Fourth Proportional to 415,814, 623,759.88 and 135,255.92

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Solution

The fourth proportional to 415,814, 623,759.88 and 135,255.92 is: 202,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,814 : 623,759.88 = 135,255.92 : x
  2. Step 2: Convert to fraction form
    415,814/623,759.88 = 135,255.92/x
  3. Step 3: Cross multiply
    415,814x = 623,759.88 × 135,255.92
  4. Step 4: Simplify right side
    415,814x = 84,367,216,428.49
  5. Step 5: Solve for x
    x = 84,367,216,428.49/415,814
  6. Step 6: Final answer
    x = 202,896.53

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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.