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Finding the Fourth Proportional to 271,813.40, 407,720.10 and 227,854.70

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Solution

The fourth proportional to 271,813.40, 407,720.10 and 227,854.70 is: 341,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,813.40 : 407,720.10 = 227,854.70 : x
  2. Step 2: Convert to fraction form
    271,813.40/407,720.10 = 227,854.70/x
  3. Step 3: Cross multiply
    271,813.40x = 407,720.10 × 227,854.70
  4. Step 4: Simplify right side
    271,813.40x = 92,900,941,069.47
  5. Step 5: Solve for x
    x = 92,900,941,069.47/271,813.40
  6. Step 6: Final answer
    x = 341,782.05

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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.