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Finding the Fourth Proportional to 317,441.33, 476,156.81 and 127,897.14

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Solution

The fourth proportional to 317,441.33, 476,156.81 and 127,897.14 is: 191,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,441.33 : 476,156.81 = 127,897.14 : x
  2. Step 2: Convert to fraction form
    317,441.33/476,156.81 = 127,897.14/x
  3. Step 3: Cross multiply
    317,441.33x = 476,156.81 × 127,897.14
  4. Step 4: Simplify right side
    317,441.33x = 60,899,096,295.85
  5. Step 5: Solve for x
    x = 60,899,096,295.85/317,441.33
  6. Step 6: Final answer
    x = 191,843.63

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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.