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Finding the Fourth Proportional to 298,991.64, 412,603.20 and 163,026.66

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Solution

The fourth proportional to 298,991.64, 412,603.20 and 163,026.66 is: 224,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,991.64 : 412,603.20 = 163,026.66 : x
  2. Step 2: Convert to fraction form
    298,991.64/412,603.20 = 163,026.66/x
  3. Step 3: Cross multiply
    298,991.64x = 412,603.20 × 163,026.66
  4. Step 4: Simplify right side
    298,991.64x = 67,265,321,601.31
  5. Step 5: Solve for x
    x = 67,265,321,601.31/298,991.64
  6. Step 6: Final answer
    x = 224,973.92

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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.