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Finding the Fourth Proportional to 412,364.10, 617,496.10 and 271,696.26

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Solution

The fourth proportional to 412,364.10, 617,496.10 and 271,696.26 is: 406,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,364.10 : 617,496.10 = 271,696.26 : x
  2. Step 2: Convert to fraction form
    412,364.10/617,496.10 = 271,696.26/x
  3. Step 3: Cross multiply
    412,364.10x = 617,496.10 × 271,696.26
  4. Step 4: Simplify right side
    412,364.10x = 167,771,380,934.59
  5. Step 5: Solve for x
    x = 167,771,380,934.59/412,364.10
  6. Step 6: Final answer
    x = 406,852.54

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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.