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Finding the Fourth Proportional to 424,193.24, 585,390.65 and 233,208

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Solution

The fourth proportional to 424,193.24, 585,390.65 and 233,208 is: 321,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,193.24 : 585,390.65 = 233,208 : x
  2. Step 2: Convert to fraction form
    424,193.24/585,390.65 = 233,208/x
  3. Step 3: Cross multiply
    424,193.24x = 585,390.65 × 233,208
  4. Step 4: Simplify right side
    424,193.24x = 136,517,781,539.16
  5. Step 5: Solve for x
    x = 136,517,781,539.16/424,193.24
  6. Step 6: Final answer
    x = 321,829.22

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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.