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Finding the Fourth Proportional to 296,611.79, 409,322.23 and 160,642.63

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Solution

The fourth proportional to 296,611.79, 409,322.23 and 160,642.63 is: 221,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,611.79 : 409,322.23 = 160,642.63 : x
  2. Step 2: Convert to fraction form
    296,611.79/409,322.23 = 160,642.63/x
  3. Step 3: Cross multiply
    296,611.79x = 409,322.23 × 160,642.63
  4. Step 4: Simplify right side
    296,611.79x = 65,754,599,544.66
  5. Step 5: Solve for x
    x = 65,754,599,544.66/296,611.79
  6. Step 6: Final answer
    x = 221,685.72

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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.