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Finding the Fourth Proportional to 343,263.20, 514,203.60 and 238,200.80

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Solution

The fourth proportional to 343,263.20, 514,203.60 and 238,200.80 is: 356,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,263.20 : 514,203.60 = 238,200.80 : x
  2. Step 2: Convert to fraction form
    343,263.20/514,203.60 = 238,200.80/x
  3. Step 3: Cross multiply
    343,263.20x = 514,203.60 × 238,200.80
  4. Step 4: Simplify right side
    343,263.20x = 122,483,708,882.88
  5. Step 5: Solve for x
    x = 122,483,708,882.88/343,263.20
  6. Step 6: Final answer
    x = 356,821.56

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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.