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Finding the Fourth Proportional to 469,216.42, 703,923.06 and 203,014.78

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Solution

The fourth proportional to 469,216.42, 703,923.06 and 203,014.78 is: 304,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,216.42 : 703,923.06 = 203,014.78 : x
  2. Step 2: Convert to fraction form
    469,216.42/703,923.06 = 203,014.78/x
  3. Step 3: Cross multiply
    469,216.42x = 703,923.06 × 203,014.78
  4. Step 4: Simplify right side
    469,216.42x = 142,906,785,162.83
  5. Step 5: Solve for x
    x = 142,906,785,162.83/469,216.42
  6. Step 6: Final answer
    x = 304,564.76

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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.