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Finding the Fourth Proportional to 296,840.45, 409,635.23 and 160,873.24

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Solution

The fourth proportional to 296,840.45, 409,635.23 and 160,873.24 is: 222,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,840.45 : 409,635.23 = 160,873.24 : x
  2. Step 2: Convert to fraction form
    296,840.45/409,635.23 = 160,873.24/x
  3. Step 3: Cross multiply
    296,840.45x = 409,635.23 × 160,873.24
  4. Step 4: Simplify right side
    296,840.45x = 65,899,345,607.86
  5. Step 5: Solve for x
    x = 65,899,345,607.86/296,840.45
  6. Step 6: Final answer
    x = 222,002.58

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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.