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Finding the Fourth Proportional to 407,951.98, 562,961.04 and 224,190.11

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Solution

The fourth proportional to 407,951.98, 562,961.04 and 224,190.11 is: 309,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,951.98 : 562,961.04 = 224,190.11 : x
  2. Step 2: Convert to fraction form
    407,951.98/562,961.04 = 224,190.11/x
  3. Step 3: Cross multiply
    407,951.98x = 562,961.04 × 224,190.11
  4. Step 4: Simplify right side
    407,951.98x = 126,210,298,050.00
  5. Step 5: Solve for x
    x = 126,210,298,050.00/407,951.98
  6. Step 6: Final answer
    x = 309,375.38

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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.