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Finding the Fourth Proportional to 405,357.66, 559,449.12 and 233,272.08

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Solution

The fourth proportional to 405,357.66, 559,449.12 and 233,272.08 is: 321,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,357.66 : 559,449.12 = 233,272.08 : x
  2. Step 2: Convert to fraction form
    405,357.66/559,449.12 = 233,272.08/x
  3. Step 3: Cross multiply
    405,357.66x = 559,449.12 × 233,272.08
  4. Step 4: Simplify right side
    405,357.66x = 130,503,859,876.57
  5. Step 5: Solve for x
    x = 130,503,859,876.57/405,357.66
  6. Step 6: Final answer
    x = 321,947.44

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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.