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Finding the Fourth Proportional to 299,501.89, 413,329.41 and 163,548.47

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Solution

The fourth proportional to 299,501.89, 413,329.41 and 163,548.47 is: 225,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,501.89 : 413,329.41 = 163,548.47 : x
  2. Step 2: Convert to fraction form
    299,501.89/413,329.41 = 163,548.47/x
  3. Step 3: Cross multiply
    299,501.89x = 413,329.41 × 163,548.47
  4. Step 4: Simplify right side
    299,501.89x = 67,599,393,644.83
  5. Step 5: Solve for x
    x = 67,599,393,644.83/299,501.89
  6. Step 6: Final answer
    x = 225,706.07

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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.