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Finding the Fourth Proportional to 271,268.80, 406,903.20 and 176,790.40

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Solution

The fourth proportional to 271,268.80, 406,903.20 and 176,790.40 is: 265,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,268.80 : 406,903.20 = 176,790.40 : x
  2. Step 2: Convert to fraction form
    271,268.80/406,903.20 = 176,790.40/x
  3. Step 3: Cross multiply
    271,268.80x = 406,903.20 × 176,790.40
  4. Step 4: Simplify right side
    271,268.80x = 71,936,579,489.28
  5. Step 5: Solve for x
    x = 71,936,579,489.28/271,268.80
  6. Step 6: Final answer
    x = 265,185.60

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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.