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Finding the Fourth Proportional to 513,194.50, 769,600.26 and 176,139.49

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Solution

The fourth proportional to 513,194.50, 769,600.26 and 176,139.49 is: 264,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,194.50 : 769,600.26 = 176,139.49 : x
  2. Step 2: Convert to fraction form
    513,194.50/769,600.26 = 176,139.49/x
  3. Step 3: Cross multiply
    513,194.50x = 769,600.26 × 176,139.49
  4. Step 4: Simplify right side
    513,194.50x = 135,556,997,300.27
  5. Step 5: Solve for x
    x = 135,556,997,300.27/513,194.50
  6. Step 6: Final answer
    x = 264,143.51

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1.5x scale

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.