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Finding the Fourth Proportional to 360,707.36, 541,110.24 and 150,296

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Solution

The fourth proportional to 360,707.36, 541,110.24 and 150,296 is: 225,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,707.36 : 541,110.24 = 150,296 : x
  2. Step 2: Convert to fraction form
    360,707.36/541,110.24 = 150,296/x
  3. Step 3: Cross multiply
    360,707.36x = 541,110.24 × 150,296
  4. Step 4: Simplify right side
    360,707.36x = 81,326,704,631.04
  5. Step 5: Solve for x
    x = 81,326,704,631.04/360,707.36
  6. Step 6: Final answer
    x = 225,464.50

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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.