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Finding the Fourth Proportional to 271,694.40, 407,848.80 and 160,948.80

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Solution

The fourth proportional to 271,694.40, 407,848.80 and 160,948.80 is: 241,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,694.40 : 407,848.80 = 160,948.80 : x
  2. Step 2: Convert to fraction form
    271,694.40/407,848.80 = 160,948.80/x
  3. Step 3: Cross multiply
    271,694.40x = 407,848.80 × 160,948.80
  4. Step 4: Simplify right side
    271,694.40x = 65,642,774,941.44
  5. Step 5: Solve for x
    x = 65,642,774,941.44/271,694.40
  6. Step 6: Final answer
    x = 241,605.18

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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.