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Finding the Fourth Proportional to 300,422.28, 414,583.88 and 164,468.87

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Solution

The fourth proportional to 300,422.28, 414,583.88 and 164,468.87 is: 226,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,422.28 : 414,583.88 = 164,468.87 : x
  2. Step 2: Convert to fraction form
    300,422.28/414,583.88 = 164,468.87/x
  3. Step 3: Cross multiply
    300,422.28x = 414,583.88 × 164,468.87
  4. Step 4: Simplify right side
    300,422.28x = 68,186,142,263.82
  5. Step 5: Solve for x
    x = 68,186,142,263.82/300,422.28
  6. Step 6: Final answer
    x = 226,967.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.