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Finding the Fourth Proportional to 271,692.83, 407,705.10 and 171,715.34

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Solution

The fourth proportional to 271,692.83, 407,705.10 and 171,715.34 is: 257,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,692.83 : 407,705.10 = 171,715.34 : x
  2. Step 2: Convert to fraction form
    271,692.83/407,705.10 = 171,715.34/x
  3. Step 3: Cross multiply
    271,692.83x = 407,705.10 × 171,715.34
  4. Step 4: Simplify right side
    271,692.83x = 70,009,220,241.56
  5. Step 5: Solve for x
    x = 70,009,220,241.56/271,692.83
  6. Step 6: Final answer
    x = 257,677.83

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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.