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Finding the Fourth Proportional to 424,207.52, 585,410.31 and 233,222.25

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Solution

The fourth proportional to 424,207.52, 585,410.31 and 233,222.25 is: 321,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,207.52 : 585,410.31 = 233,222.25 : x
  2. Step 2: Convert to fraction form
    424,207.52/585,410.31 = 233,222.25/x
  3. Step 3: Cross multiply
    424,207.52x = 585,410.31 × 233,222.25
  4. Step 4: Simplify right side
    424,207.52x = 136,530,709,671.40
  5. Step 5: Solve for x
    x = 136,530,709,671.40/424,207.52
  6. Step 6: Final answer
    x = 321,848.87

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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.