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Finding the Fourth Proportional to 300,389.64, 414,541.98 and 166,253.64

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Solution

The fourth proportional to 300,389.64, 414,541.98 and 166,253.64 is: 229,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,389.64 : 414,541.98 = 166,253.64 : x
  2. Step 2: Convert to fraction form
    300,389.64/414,541.98 = 166,253.64/x
  3. Step 3: Cross multiply
    300,389.64x = 414,541.98 × 166,253.64
  4. Step 4: Simplify right side
    300,389.64x = 68,919,113,107.81
  5. Step 5: Solve for x
    x = 68,919,113,107.81/300,389.64
  6. Step 6: Final answer
    x = 229,432.39

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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.