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Finding the Fourth Proportional to 299,293.37, 413,012.01 and 163,323.93

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Solution

The fourth proportional to 299,293.37, 413,012.01 and 163,323.93 is: 225,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,293.37 : 413,012.01 = 163,323.93 : x
  2. Step 2: Convert to fraction form
    299,293.37/413,012.01 = 163,323.93/x
  3. Step 3: Cross multiply
    299,293.37x = 413,012.01 × 163,323.93
  4. Step 4: Simplify right side
    299,293.37x = 67,454,744,610.40
  5. Step 5: Solve for x
    x = 67,454,744,610.40/299,293.37
  6. Step 6: Final answer
    x = 225,380.02

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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.