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Finding the Fourth Proportional to 407,407.24, 562,222.20 and 226,119.25

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Solution

The fourth proportional to 407,407.24, 562,222.20 and 226,119.25 is: 312,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,407.24 : 562,222.20 = 226,119.25 : x
  2. Step 2: Convert to fraction form
    407,407.24/562,222.20 = 226,119.25/x
  3. Step 3: Cross multiply
    407,407.24x = 562,222.20 × 226,119.25
  4. Step 4: Simplify right side
    407,407.24x = 127,129,262,197.35
  5. Step 5: Solve for x
    x = 127,129,262,197.35/407,407.24
  6. Step 6: Final answer
    x = 312,044.68

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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.