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Finding the Fourth Proportional to 306,442.98, 421,924.95 and 278,067.06

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Solution

The fourth proportional to 306,442.98, 421,924.95 and 278,067.06 is: 382,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,442.98 : 421,924.95 = 278,067.06 : x
  2. Step 2: Convert to fraction form
    306,442.98/421,924.95 = 278,067.06/x
  3. Step 3: Cross multiply
    306,442.98x = 421,924.95 × 278,067.06
  4. Step 4: Simplify right side
    306,442.98x = 117,323,430,387.15
  5. Step 5: Solve for x
    x = 117,323,430,387.15/306,442.98
  6. Step 6: Final answer
    x = 382,855.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.