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Finding the Fourth Proportional to 408,322.08, 563,486.22 and 227,050.56

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Solution

The fourth proportional to 408,322.08, 563,486.22 and 227,050.56 is: 313,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,322.08 : 563,486.22 = 227,050.56 : x
  2. Step 2: Convert to fraction form
    408,322.08/563,486.22 = 227,050.56/x
  3. Step 3: Cross multiply
    408,322.08x = 563,486.22 × 227,050.56
  4. Step 4: Simplify right side
    408,322.08x = 127,939,861,803.28
  5. Step 5: Solve for x
    x = 127,939,861,803.28/408,322.08
  6. Step 6: Final answer
    x = 313,330.75

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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.