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Finding the Fourth Proportional to 407,847.90, 562,920.06 and 226,622.10

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Solution

The fourth proportional to 407,847.90, 562,920.06 and 226,622.10 is: 312,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,847.90 : 562,920.06 = 226,622.10 : x
  2. Step 2: Convert to fraction form
    407,847.90/562,920.06 = 226,622.10/x
  3. Step 3: Cross multiply
    407,847.90x = 562,920.06 × 226,622.10
  4. Step 4: Simplify right side
    407,847.90x = 127,570,126,129.33
  5. Step 5: Solve for x
    x = 127,570,126,129.33/407,847.90
  6. Step 6: Final answer
    x = 312,788.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.