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Finding the Fourth Proportional to 271,689.40, 407,841.30 and 160,943.80

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Solution

The fourth proportional to 271,689.40, 407,841.30 and 160,943.80 is: 241,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,689.40 : 407,841.30 = 160,943.80 : x
  2. Step 2: Convert to fraction form
    271,689.40/407,841.30 = 160,943.80/x
  3. Step 3: Cross multiply
    271,689.40x = 407,841.30 × 160,943.80
  4. Step 4: Simplify right side
    271,689.40x = 65,639,528,618.94
  5. Step 5: Solve for x
    x = 65,639,528,618.94/271,689.40
  6. Step 6: Final answer
    x = 241,597.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.