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Finding the Fourth Proportional to 407,376.88, 562,186.14 and 226,100.48

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Solution

The fourth proportional to 407,376.88, 562,186.14 and 226,100.48 is: 312,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,376.88 : 562,186.14 = 226,100.48 : x
  2. Step 2: Convert to fraction form
    407,376.88/562,186.14 = 226,100.48/x
  3. Step 3: Cross multiply
    407,376.88x = 562,186.14 × 226,100.48
  4. Step 4: Simplify right side
    407,376.88x = 127,110,556,103.35
  5. Step 5: Solve for x
    x = 127,110,556,103.35/407,376.88
  6. Step 6: Final answer
    x = 312,022.02

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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.