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Finding the Fourth Proportional to 343,807.20, 515,710.80 and 231,832.80

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Solution

The fourth proportional to 343,807.20, 515,710.80 and 231,832.80 is: 347,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,807.20 : 515,710.80 = 231,832.80 : x
  2. Step 2: Convert to fraction form
    343,807.20/515,710.80 = 231,832.80/x
  3. Step 3: Cross multiply
    343,807.20x = 515,710.80 × 231,832.80
  4. Step 4: Simplify right side
    343,807.20x = 119,558,678,754.24
  5. Step 5: Solve for x
    x = 119,558,678,754.24/343,807.20
  6. Step 6: Final answer
    x = 347,749.20

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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.