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Finding the Fourth Proportional to 405,359.66, 559,451.88 and 233,274.08

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Solution

The fourth proportional to 405,359.66, 559,451.88 and 233,274.08 is: 321,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,359.66 : 559,451.88 = 233,274.08 : x
  2. Step 2: Convert to fraction form
    405,359.66/559,451.88 = 233,274.08/x
  3. Step 3: Cross multiply
    405,359.66x = 559,451.88 × 233,274.08
  4. Step 4: Simplify right side
    405,359.66x = 130,505,622,611.27
  5. Step 5: Solve for x
    x = 130,505,622,611.27/405,359.66
  6. Step 6: Final answer
    x = 321,950.20

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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.