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Finding the Fourth Proportional to 343,896.60, 516,233.70 and 203,734.20

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Solution

The fourth proportional to 343,896.60, 516,233.70 and 203,734.20 is: 305,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,896.60 : 516,233.70 = 203,734.20 : x
  2. Step 2: Convert to fraction form
    343,896.60/516,233.70 = 203,734.20/x
  3. Step 3: Cross multiply
    343,896.60x = 516,233.70 × 203,734.20
  4. Step 4: Simplify right side
    343,896.60x = 105,174,459,882.54
  5. Step 5: Solve for x
    x = 105,174,459,882.54/343,896.60
  6. Step 6: Final answer
    x = 305,831.64

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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.