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Finding the Fourth Proportional to 271,805.40, 407,708.10 and 227,518.65

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Solution

The fourth proportional to 271,805.40, 407,708.10 and 227,518.65 is: 341,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,805.40 : 407,708.10 = 227,518.65 : x
  2. Step 2: Convert to fraction form
    271,805.40/407,708.10 = 227,518.65/x
  3. Step 3: Cross multiply
    271,805.40x = 407,708.10 × 227,518.65
  4. Step 4: Simplify right side
    271,805.40x = 92,761,196,506.07
  5. Step 5: Solve for x
    x = 92,761,196,506.07/271,805.40
  6. Step 6: Final answer
    x = 341,277.98

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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.