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Finding the Fourth Proportional to 426,107.44, 588,241.16 and 265,014.42

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Solution

The fourth proportional to 426,107.44, 588,241.16 and 265,014.42 is: 365,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,107.44 : 588,241.16 = 265,014.42 : x
  2. Step 2: Convert to fraction form
    426,107.44/588,241.16 = 265,014.42/x
  3. Step 3: Cross multiply
    426,107.44x = 588,241.16 × 265,014.42
  4. Step 4: Simplify right side
    426,107.44x = 155,892,389,837.53
  5. Step 5: Solve for x
    x = 155,892,389,837.53/426,107.44
  6. Step 6: Final answer
    x = 365,852.31

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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.