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Finding the Fourth Proportional to 481,853.12, 722,298.54 and 322,063.64

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Solution

The fourth proportional to 481,853.12, 722,298.54 and 322,063.64 is: 482,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,853.12 : 722,298.54 = 322,063.64 : x
  2. Step 2: Convert to fraction form
    481,853.12/722,298.54 = 322,063.64/x
  3. Step 3: Cross multiply
    481,853.12x = 722,298.54 × 322,063.64
  4. Step 4: Simplify right side
    481,853.12x = 232,626,096,959.09
  5. Step 5: Solve for x
    x = 232,626,096,959.09/481,853.12
  6. Step 6: Final answer
    x = 482,773.87

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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.