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Finding the Fourth Proportional to 400,509.16, 552,970.24 and 237,218.16

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Solution

The fourth proportional to 400,509.16, 552,970.24 and 237,218.16 is: 327,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,509.16 : 552,970.24 = 237,218.16 : x
  2. Step 2: Convert to fraction form
    400,509.16/552,970.24 = 237,218.16/x
  3. Step 3: Cross multiply
    400,509.16x = 552,970.24 × 237,218.16
  4. Step 4: Simplify right side
    400,509.16x = 131,174,582,867.56
  5. Step 5: Solve for x
    x = 131,174,582,867.56/400,509.16
  6. Step 6: Final answer
    x = 327,519.56

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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.