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Finding the Fourth Proportional to 431,016.63, 594,223.18 and 301,781.26

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Solution

The fourth proportional to 431,016.63, 594,223.18 and 301,781.26 is: 416,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,016.63 : 594,223.18 = 301,781.26 : x
  2. Step 2: Convert to fraction form
    431,016.63/594,223.18 = 301,781.26/x
  3. Step 3: Cross multiply
    431,016.63x = 594,223.18 × 301,781.26
  4. Step 4: Simplify right side
    431,016.63x = 179,325,419,981.61
  5. Step 5: Solve for x
    x = 179,325,419,981.61/431,016.63
  6. Step 6: Final answer
    x = 416,052.21

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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.