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Finding the Fourth Proportional to 271,646.96, 407,486.71 and 71,966.77

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Solution

The fourth proportional to 271,646.96, 407,486.71 and 71,966.77 is: 107,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,646.96 : 407,486.71 = 71,966.77 : x
  2. Step 2: Convert to fraction form
    271,646.96/407,486.71 = 71,966.77/x
  3. Step 3: Cross multiply
    271,646.96x = 407,486.71 × 71,966.77
  4. Step 4: Simplify right side
    271,646.96x = 29,325,503,902.39
  5. Step 5: Solve for x
    x = 29,325,503,902.39/271,646.96
  6. Step 6: Final answer
    x = 107,954.47

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1.5x scale

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.