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Finding the Fourth Proportional to 412,241.70, 617,312.77 and 271,573.86

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Solution

The fourth proportional to 412,241.70, 617,312.77 and 271,573.86 is: 406,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,241.70 : 617,312.77 = 271,573.86 : x
  2. Step 2: Convert to fraction form
    412,241.70/617,312.77 = 271,573.86/x
  3. Step 3: Cross multiply
    412,241.70x = 617,312.77 × 271,573.86
  4. Step 4: Simplify right side
    412,241.70x = 167,646,011,097.26
  5. Step 5: Solve for x
    x = 167,646,011,097.26/412,241.70
  6. Step 6: Final answer
    x = 406,669.22

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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.