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Finding the Fourth Proportional to 510,620.33, 766,044.23 and 155,662

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Solution

The fourth proportional to 510,620.33, 766,044.23 and 155,662 is: 233,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,620.33 : 766,044.23 = 155,662 : x
  2. Step 2: Convert to fraction form
    510,620.33/766,044.23 = 155,662/x
  3. Step 3: Cross multiply
    510,620.33x = 766,044.23 × 155,662
  4. Step 4: Simplify right side
    510,620.33x = 119,243,976,930.26
  5. Step 5: Solve for x
    x = 119,243,976,930.26/510,620.33
  6. Step 6: Final answer
    x = 233,527.67

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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.