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Finding the Fourth Proportional to 405,216.48, 559,197.36 and 223,923.36

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Solution

The fourth proportional to 405,216.48, 559,197.36 and 223,923.36 is: 309,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,216.48 : 559,197.36 = 223,923.36 : x
  2. Step 2: Convert to fraction form
    405,216.48/559,197.36 = 223,923.36/x
  3. Step 3: Cross multiply
    405,216.48x = 559,197.36 × 223,923.36
  4. Step 4: Simplify right side
    405,216.48x = 125,217,351,754.33
  5. Step 5: Solve for x
    x = 125,217,351,754.33/405,216.48
  6. Step 6: Final answer
    x = 309,013.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.