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Finding the Fourth Proportional to 424,104.66, 585,272.79 and 233,135.82

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Solution

The fourth proportional to 424,104.66, 585,272.79 and 233,135.82 is: 321,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,104.66 : 585,272.79 = 233,135.82 : x
  2. Step 2: Convert to fraction form
    424,104.66/585,272.79 = 233,135.82/x
  3. Step 3: Cross multiply
    424,104.66x = 585,272.79 × 233,135.82
  4. Step 4: Simplify right side
    424,104.66x = 136,448,051,820.34
  5. Step 5: Solve for x
    x = 136,448,051,820.34/424,104.66
  6. Step 6: Final answer
    x = 321,732.03

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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.