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Finding the Fourth Proportional to 414,816, 622,316.16 and 152,160

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Solution

The fourth proportional to 414,816, 622,316.16 and 152,160 is: 228,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,816 : 622,316.16 = 152,160 : x
  2. Step 2: Convert to fraction form
    414,816/622,316.16 = 152,160/x
  3. Step 3: Cross multiply
    414,816x = 622,316.16 × 152,160
  4. Step 4: Simplify right side
    414,816x = 94,691,626,905.60
  5. Step 5: Solve for x
    x = 94,691,626,905.60/414,816
  6. Step 6: Final answer
    x = 228,273.81

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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.