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Finding the Fourth Proportional to 407,408.62, 562,250.17 and 226,120.56

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Solution

The fourth proportional to 407,408.62, 562,250.17 and 226,120.56 is: 312,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,408.62 : 562,250.17 = 226,120.56 : x
  2. Step 2: Convert to fraction form
    407,408.62/562,250.17 = 226,120.56/x
  3. Step 3: Cross multiply
    407,408.62x = 562,250.17 × 226,120.56
  4. Step 4: Simplify right side
    407,408.62x = 127,136,323,300.50
  5. Step 5: Solve for x
    x = 127,136,323,300.50/407,408.62
  6. Step 6: Final answer
    x = 312,060.96

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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.