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Finding the Fourth Proportional to 424,054.48, 585,198.84 and 233,072.32

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Solution

The fourth proportional to 424,054.48, 585,198.84 and 233,072.32 is: 321,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,054.48 : 585,198.84 = 233,072.32 : x
  2. Step 2: Convert to fraction form
    424,054.48/585,198.84 = 233,072.32/x
  3. Step 3: Cross multiply
    424,054.48x = 585,198.84 × 233,072.32
  4. Step 4: Simplify right side
    424,054.48x = 136,393,651,300.11
  5. Step 5: Solve for x
    x = 136,393,651,300.11/424,054.48
  6. Step 6: Final answer
    x = 321,641.81

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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.