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Finding the Fourth Proportional to 408,322.56, 563,485.65 and 227,032.56

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Solution

The fourth proportional to 408,322.56, 563,485.65 and 227,032.56 is: 313,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,322.56 : 563,485.65 = 227,032.56 : x
  2. Step 2: Convert to fraction form
    408,322.56/563,485.65 = 227,032.56/x
  3. Step 3: Cross multiply
    408,322.56x = 563,485.65 × 227,032.56
  4. Step 4: Simplify right side
    408,322.56x = 127,929,589,642.76
  5. Step 5: Solve for x
    x = 127,929,589,642.76/408,322.56
  6. Step 6: Final answer
    x = 313,305.22

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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.