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Finding the Fourth Proportional to 300,175.89, 414,265.22 and 171,117.44

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Solution

The fourth proportional to 300,175.89, 414,265.22 and 171,117.44 is: 236,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,175.89 : 414,265.22 = 171,117.44 : x
  2. Step 2: Convert to fraction form
    300,175.89/414,265.22 = 171,117.44/x
  3. Step 3: Cross multiply
    300,175.89x = 414,265.22 × 171,117.44
  4. Step 4: Simplify right side
    300,175.89x = 70,888,003,927.44
  5. Step 5: Solve for x
    x = 70,888,003,927.44/300,175.89
  6. Step 6: Final answer
    x = 236,154.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.