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Finding the Fourth Proportional to 424,003.76, 585,135.96 and 233,022

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Solution

The fourth proportional to 424,003.76, 585,135.96 and 233,022 is: 321,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,003.76 : 585,135.96 = 233,022 : x
  2. Step 2: Convert to fraction form
    424,003.76/585,135.96 = 233,022/x
  3. Step 3: Cross multiply
    424,003.76x = 585,135.96 × 233,022
  4. Step 4: Simplify right side
    424,003.76x = 136,349,551,671.12
  5. Step 5: Solve for x
    x = 136,349,551,671.12/424,003.76
  6. Step 6: Final answer
    x = 321,576.28

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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.