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Finding the Fourth Proportional to 407,396.94, 562,213.89 and 223,650.60

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Solution

The fourth proportional to 407,396.94, 562,213.89 and 223,650.60 is: 308,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,396.94 : 562,213.89 = 223,650.60 : x
  2. Step 2: Convert to fraction form
    407,396.94/562,213.89 = 223,650.60/x
  3. Step 3: Cross multiply
    407,396.94x = 562,213.89 × 223,650.60
  4. Step 4: Simplify right side
    407,396.94x = 125,739,473,826.83
  5. Step 5: Solve for x
    x = 125,739,473,826.83/407,396.94
  6. Step 6: Final answer
    x = 308,641.18

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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.