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Finding the Fourth Proportional to 426,109.44, 588,243.92 and 265,016.42

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Solution

The fourth proportional to 426,109.44, 588,243.92 and 265,016.42 is: 365,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,109.44 : 588,243.92 = 265,016.42 : x
  2. Step 2: Convert to fraction form
    426,109.44/588,243.92 = 265,016.42/x
  3. Step 3: Cross multiply
    426,109.44x = 588,243.92 × 265,016.42
  4. Step 4: Simplify right side
    426,109.44x = 155,894,293,498.87
  5. Step 5: Solve for x
    x = 155,894,293,498.87/426,109.44
  6. Step 6: Final answer
    x = 365,855.06

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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.