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Finding the Fourth Proportional to 296,578.24, 409,277.35 and 160,611.77

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Solution

The fourth proportional to 296,578.24, 409,277.35 and 160,611.77 is: 221,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,578.24 : 409,277.35 = 160,611.77 : x
  2. Step 2: Convert to fraction form
    296,578.24/409,277.35 = 160,611.77/x
  3. Step 3: Cross multiply
    296,578.24x = 409,277.35 × 160,611.77
  4. Step 4: Simplify right side
    296,578.24x = 65,734,756,754.96
  5. Step 5: Solve for x
    x = 65,734,756,754.96/296,578.24
  6. Step 6: Final answer
    x = 221,643.90

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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.