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Finding the Fourth Proportional to 296,670.30, 409,406.96 and 160,704.24

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Solution

The fourth proportional to 296,670.30, 409,406.96 and 160,704.24 is: 221,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,670.30 : 409,406.96 = 160,704.24 : x
  2. Step 2: Convert to fraction form
    296,670.30/409,406.96 = 160,704.24/x
  3. Step 3: Cross multiply
    296,670.30x = 409,406.96 × 160,704.24
  4. Step 4: Simplify right side
    296,670.30x = 65,793,434,357.51
  5. Step 5: Solve for x
    x = 65,793,434,357.51/296,670.30
  6. Step 6: Final answer
    x = 221,772.91

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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.