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Finding the Fourth Proportional to 515,819.76, 711,882.38 and 289,466.16

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Solution

The fourth proportional to 515,819.76, 711,882.38 and 289,466.16 is: 399,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,819.76 : 711,882.38 = 289,466.16 : x
  2. Step 2: Convert to fraction form
    515,819.76/711,882.38 = 289,466.16/x
  3. Step 3: Cross multiply
    515,819.76x = 711,882.38 × 289,466.16
  4. Step 4: Simplify right side
    515,819.76x = 206,065,858,910.26
  5. Step 5: Solve for x
    x = 206,065,858,910.26/515,819.76
  6. Step 6: Final answer
    x = 399,491.98

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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.