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Finding the Fourth Proportional to 415,868.81, 573,514.91 and 262,640.30

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Solution

The fourth proportional to 415,868.81, 573,514.91 and 262,640.30 is: 362,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,868.81 : 573,514.91 = 262,640.30 : x
  2. Step 2: Convert to fraction form
    415,868.81/573,514.91 = 262,640.30/x
  3. Step 3: Cross multiply
    415,868.81x = 573,514.91 × 262,640.30
  4. Step 4: Simplify right side
    415,868.81x = 150,628,123,836.10
  5. Step 5: Solve for x
    x = 150,628,123,836.10/415,868.81
  6. Step 6: Final answer
    x = 362,201.06

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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.