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Finding the Fourth Proportional to 295,947.24, 408,401.04 and 161,811.24

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Solution

The fourth proportional to 295,947.24, 408,401.04 and 161,811.24 is: 223,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,947.24 : 408,401.04 = 161,811.24 : x
  2. Step 2: Convert to fraction form
    295,947.24/408,401.04 = 161,811.24/x
  3. Step 3: Cross multiply
    295,947.24x = 408,401.04 × 161,811.24
  4. Step 4: Simplify right side
    295,947.24x = 66,083,878,699.69
  5. Step 5: Solve for x
    x = 66,083,878,699.69/295,947.24
  6. Step 6: Final answer
    x = 223,296.15

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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.