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Finding the Fourth Proportional to 299,507.19, 413,336.73 and 163,553.80

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Solution

The fourth proportional to 299,507.19, 413,336.73 and 163,553.80 is: 225,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,507.19 : 413,336.73 = 163,553.80 : x
  2. Step 2: Convert to fraction form
    299,507.19/413,336.73 = 163,553.80/x
  3. Step 3: Cross multiply
    299,507.19x = 413,336.73 × 163,553.80
  4. Step 4: Simplify right side
    299,507.19x = 67,602,792,871.07
  5. Step 5: Solve for x
    x = 67,602,792,871.07/299,507.19
  6. Step 6: Final answer
    x = 225,713.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.