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Finding the Fourth Proportional to 261,136.30, 358,021.21 and 256,412.38

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Solution

The fourth proportional to 261,136.30, 358,021.21 and 256,412.38 is: 351,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,136.30 : 358,021.21 = 256,412.38 : x
  2. Step 2: Convert to fraction form
    261,136.30/358,021.21 = 256,412.38/x
  3. Step 3: Cross multiply
    261,136.30x = 358,021.21 × 256,412.38
  4. Step 4: Simplify right side
    261,136.30x = 91,801,070,546.58
  5. Step 5: Solve for x
    x = 91,801,070,546.58/261,136.30
  6. Step 6: Final answer
    x = 351,544.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.