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Finding the Fourth Proportional to 414,818, 622,319.16 and 152,162

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Solution

The fourth proportional to 414,818, 622,319.16 and 152,162 is: 228,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,818 : 622,319.16 = 152,162 : x
  2. Step 2: Convert to fraction form
    414,818/622,319.16 = 152,162/x
  3. Step 3: Cross multiply
    414,818x = 622,319.16 × 152,162
  4. Step 4: Simplify right side
    414,818x = 94,693,328,023.92
  5. Step 5: Solve for x
    x = 94,693,328,023.92/414,818
  6. Step 6: Final answer
    x = 228,276.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.