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Finding the Fourth Proportional to 414,657.68, 621,592.44 and 162,100.16

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Solution

The fourth proportional to 414,657.68, 621,592.44 and 162,100.16 is: 242,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,657.68 : 621,592.44 = 162,100.16 : x
  2. Step 2: Convert to fraction form
    414,657.68/621,592.44 = 162,100.16/x
  3. Step 3: Cross multiply
    414,657.68x = 621,592.44 × 162,100.16
  4. Step 4: Simplify right side
    414,657.68x = 100,760,233,978.79
  5. Step 5: Solve for x
    x = 100,760,233,978.79/414,657.68
  6. Step 6: Final answer
    x = 242,996.18

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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.