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Finding the Fourth Proportional to 269,314.60, 403,971.90 and 257,067.40

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Solution

The fourth proportional to 269,314.60, 403,971.90 and 257,067.40 is: 385,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,314.60 : 403,971.90 = 257,067.40 : x
  2. Step 2: Convert to fraction form
    269,314.60/403,971.90 = 257,067.40/x
  3. Step 3: Cross multiply
    269,314.60x = 403,971.90 × 257,067.40
  4. Step 4: Simplify right side
    269,314.60x = 103,848,006,006.06
  5. Step 5: Solve for x
    x = 103,848,006,006.06/269,314.60
  6. Step 6: Final answer
    x = 385,601.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.