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Finding the Fourth Proportional to 338,136.64, 466,515.28 and 194,893.61

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Solution

The fourth proportional to 338,136.64, 466,515.28 and 194,893.61 is: 268,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,136.64 : 466,515.28 = 194,893.61 : x
  2. Step 2: Convert to fraction form
    338,136.64/466,515.28 = 194,893.61/x
  3. Step 3: Cross multiply
    338,136.64x = 466,515.28 × 194,893.61
  4. Step 4: Simplify right side
    338,136.64x = 90,920,844,950.40
  5. Step 5: Solve for x
    x = 90,920,844,950.40/338,136.64
  6. Step 6: Final answer
    x = 268,887.88

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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.