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Finding the Fourth Proportional to 344,600.20, 516,122.70 and 204,632.20

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Solution

The fourth proportional to 344,600.20, 516,122.70 and 204,632.20 is: 306,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,600.20 : 516,122.70 = 204,632.20 : x
  2. Step 2: Convert to fraction form
    344,600.20/516,122.70 = 204,632.20/x
  3. Step 3: Cross multiply
    344,600.20x = 516,122.70 × 204,632.20
  4. Step 4: Simplify right side
    344,600.20x = 105,615,323,570.94
  5. Step 5: Solve for x
    x = 105,615,323,570.94/344,600.20
  6. Step 6: Final answer
    x = 306,486.54

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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.