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Finding the Fourth Proportional to 407,906.40, 562,848.30 and 226,615.44

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Solution

The fourth proportional to 407,906.40, 562,848.30 and 226,615.44 is: 312,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,906.40 : 562,848.30 = 226,615.44 : x
  2. Step 2: Convert to fraction form
    407,906.40/562,848.30 = 226,615.44/x
  3. Step 3: Cross multiply
    407,906.40x = 562,848.30 × 226,615.44
  4. Step 4: Simplify right side
    407,906.40x = 127,550,115,157.75
  5. Step 5: Solve for x
    x = 127,550,115,157.75/407,906.40
  6. Step 6: Final answer
    x = 312,694.57

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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.