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Finding the Fourth Proportional to 393,533.86, 543,074.22 and 223,768

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Solution

The fourth proportional to 393,533.86, 543,074.22 and 223,768 is: 308,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,533.86 : 543,074.22 = 223,768 : x
  2. Step 2: Convert to fraction form
    393,533.86/543,074.22 = 223,768/x
  3. Step 3: Cross multiply
    393,533.86x = 543,074.22 × 223,768
  4. Step 4: Simplify right side
    393,533.86x = 121,522,632,060.96
  5. Step 5: Solve for x
    x = 121,522,632,060.96/393,533.86
  6. Step 6: Final answer
    x = 308,798.41

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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.