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Finding the Fourth Proportional to 296,485.30, 409,144.77 and 160,518.14

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Solution

The fourth proportional to 296,485.30, 409,144.77 and 160,518.14 is: 221,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,485.30 : 409,144.77 = 160,518.14 : x
  2. Step 2: Convert to fraction form
    296,485.30/409,144.77 = 160,518.14/x
  3. Step 3: Cross multiply
    296,485.30x = 409,144.77 × 160,518.14
  4. Step 4: Simplify right side
    296,485.30x = 65,675,157,471.13
  5. Step 5: Solve for x
    x = 65,675,157,471.13/296,485.30
  6. Step 6: Final answer
    x = 221,512.36

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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.