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Finding the Fourth Proportional to 424,137.98, 585,312.31 and 233,163.68

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Solution

The fourth proportional to 424,137.98, 585,312.31 and 233,163.68 is: 321,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,137.98 : 585,312.31 = 233,163.68 : x
  2. Step 2: Convert to fraction form
    424,137.98/585,312.31 = 233,163.68/x
  3. Step 3: Cross multiply
    424,137.98x = 585,312.31 × 233,163.68
  4. Step 4: Simplify right side
    424,137.98x = 136,473,569,513.79
  5. Step 5: Solve for x
    x = 136,473,569,513.79/424,137.98
  6. Step 6: Final answer
    x = 321,766.91

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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.