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Finding the Fourth Proportional to 400,185.64, 600,278.46 and 150,809.32

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Solution

The fourth proportional to 400,185.64, 600,278.46 and 150,809.32 is: 226,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,185.64 : 600,278.46 = 150,809.32 : x
  2. Step 2: Convert to fraction form
    400,185.64/600,278.46 = 150,809.32/x
  3. Step 3: Cross multiply
    400,185.64x = 600,278.46 × 150,809.32
  4. Step 4: Simplify right side
    400,185.64x = 90,527,586,363.25
  5. Step 5: Solve for x
    x = 90,527,586,363.25/400,185.64
  6. Step 6: Final answer
    x = 226,213.98

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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.