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Finding the Fourth Proportional to 424,107.52, 585,283.36 and 233,138.56

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Solution

The fourth proportional to 424,107.52, 585,283.36 and 233,138.56 is: 321,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,107.52 : 585,283.36 = 233,138.56 : x
  2. Step 2: Convert to fraction form
    424,107.52/585,283.36 = 233,138.56/x
  3. Step 3: Cross multiply
    424,107.52x = 585,283.36 × 233,138.56
  4. Step 4: Simplify right side
    424,107.52x = 136,452,119,742.36
  5. Step 5: Solve for x
    x = 136,452,119,742.36/424,107.52
  6. Step 6: Final answer
    x = 321,739.45

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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.