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Finding the Fourth Proportional to 271,817.10, 407,725.65 and 165,528.90

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Solution

The fourth proportional to 271,817.10, 407,725.65 and 165,528.90 is: 248,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,817.10 : 407,725.65 = 165,528.90 : x
  2. Step 2: Convert to fraction form
    271,817.10/407,725.65 = 165,528.90/x
  3. Step 3: Cross multiply
    271,817.10x = 407,725.65 × 165,528.90
  4. Step 4: Simplify right side
    271,817.10x = 67,490,378,346.29
  5. Step 5: Solve for x
    x = 67,490,378,346.29/271,817.10
  6. Step 6: Final answer
    x = 248,293.35

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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.