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Finding the Fourth Proportional to 296,686.45, 409,426.94 and 160,720.96

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Solution

The fourth proportional to 296,686.45, 409,426.94 and 160,720.96 is: 221,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,686.45 : 409,426.94 = 160,720.96 : x
  2. Step 2: Convert to fraction form
    296,686.45/409,426.94 = 160,720.96/x
  3. Step 3: Cross multiply
    296,686.45x = 409,426.94 × 160,720.96
  4. Step 4: Simplify right side
    296,686.45x = 65,803,491,322.52
  5. Step 5: Solve for x
    x = 65,803,491,322.52/296,686.45
  6. Step 6: Final answer
    x = 221,794.73

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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.