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Finding the Fourth Proportional to 510,735.44, 766,101.09 and 155,748.43

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Solution

The fourth proportional to 510,735.44, 766,101.09 and 155,748.43 is: 233,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,735.44 : 766,101.09 = 155,748.43 : x
  2. Step 2: Convert to fraction form
    510,735.44/766,101.09 = 155,748.43/x
  3. Step 3: Cross multiply
    510,735.44x = 766,101.09 × 155,748.43
  4. Step 4: Simplify right side
    510,735.44x = 119,319,041,988.79
  5. Step 5: Solve for x
    x = 119,319,041,988.79/510,735.44
  6. Step 6: Final answer
    x = 233,622.02

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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.