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Finding the Fourth Proportional to 288,059.76, 397,522.17 and 160,735.38

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Solution

The fourth proportional to 288,059.76, 397,522.17 and 160,735.38 is: 221,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,059.76 : 397,522.17 = 160,735.38 : x
  2. Step 2: Convert to fraction form
    288,059.76/397,522.17 = 160,735.38/x
  3. Step 3: Cross multiply
    288,059.76x = 397,522.17 × 160,735.38
  4. Step 4: Simplify right side
    288,059.76x = 63,895,877,053.37
  5. Step 5: Solve for x
    x = 63,895,877,053.37/288,059.76
  6. Step 6: Final answer
    x = 221,814.66

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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.