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Finding the Fourth Proportional to 400,182.64, 600,273.96 and 150,806.32

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Solution

The fourth proportional to 400,182.64, 600,273.96 and 150,806.32 is: 226,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,182.64 : 600,273.96 = 150,806.32 : x
  2. Step 2: Convert to fraction form
    400,182.64/600,273.96 = 150,806.32/x
  3. Step 3: Cross multiply
    400,182.64x = 600,273.96 × 150,806.32
  4. Step 4: Simplify right side
    400,182.64x = 90,525,106,899.43
  5. Step 5: Solve for x
    x = 90,525,106,899.43/400,182.64
  6. Step 6: Final answer
    x = 226,209.48

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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.