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Finding the Fourth Proportional to 426,368.80, 588,464.76 and 254,297.26

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Solution

The fourth proportional to 426,368.80, 588,464.76 and 254,297.26 is: 350,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,368.80 : 588,464.76 = 254,297.26 : x
  2. Step 2: Convert to fraction form
    426,368.80/588,464.76 = 254,297.26/x
  3. Step 3: Cross multiply
    426,368.80x = 588,464.76 × 254,297.26
  4. Step 4: Simplify right side
    426,368.80x = 149,644,976,074.56
  5. Step 5: Solve for x
    x = 149,644,976,074.56/426,368.80
  6. Step 6: Final answer
    x = 350,975.44

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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.