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Finding the Fourth Proportional to 300,657.36, 414,902.61 and 164,690.22

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Solution

The fourth proportional to 300,657.36, 414,902.61 and 164,690.22 is: 227,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,657.36 : 414,902.61 = 164,690.22 : x
  2. Step 2: Convert to fraction form
    300,657.36/414,902.61 = 164,690.22/x
  3. Step 3: Cross multiply
    300,657.36x = 414,902.61 × 164,690.22
  4. Step 4: Simplify right side
    300,657.36x = 68,330,402,119.47
  5. Step 5: Solve for x
    x = 68,330,402,119.47/300,657.36
  6. Step 6: Final answer
    x = 227,270.01

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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.