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Finding the Fourth Proportional to 229,896.48, 344,844.24 and 63,684

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Solution

The fourth proportional to 229,896.48, 344,844.24 and 63,684 is: 95,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,896.48 : 344,844.24 = 63,684 : x
  2. Step 2: Convert to fraction form
    229,896.48/344,844.24 = 63,684/x
  3. Step 3: Cross multiply
    229,896.48x = 344,844.24 × 63,684
  4. Step 4: Simplify right side
    229,896.48x = 21,961,060,580.16
  5. Step 5: Solve for x
    x = 21,961,060,580.16/229,896.48
  6. Step 6: Final answer
    x = 95,525.87

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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.