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Finding the Fourth Proportional to 407,524, 562,434.96 and 228,676

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Solution

The fourth proportional to 407,524, 562,434.96 and 228,676 is: 315,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,524 : 562,434.96 = 228,676 : x
  2. Step 2: Convert to fraction form
    407,524/562,434.96 = 228,676/x
  3. Step 3: Cross multiply
    407,524x = 562,434.96 × 228,676
  4. Step 4: Simplify right side
    407,524x = 128,615,376,912.96
  5. Step 5: Solve for x
    x = 128,615,376,912.96/407,524
  6. Step 6: Final answer
    x = 315,601.97

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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.