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Finding the Fourth Proportional to 407,963.88, 562,988.34 and 226,705.32

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Solution

The fourth proportional to 407,963.88, 562,988.34 and 226,705.32 is: 312,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,963.88 : 562,988.34 = 226,705.32 : x
  2. Step 2: Convert to fraction form
    407,963.88/562,988.34 = 226,705.32/x
  3. Step 3: Cross multiply
    407,963.88x = 562,988.34 × 226,705.32
  4. Step 4: Simplify right side
    407,963.88x = 127,632,451,775.97
  5. Step 5: Solve for x
    x = 127,632,451,775.97/407,963.88
  6. Step 6: Final answer
    x = 312,852.33

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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.