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Finding the Fourth Proportional to 357,914.36, 535,703.30 and 263,119.44

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Solution

The fourth proportional to 357,914.36, 535,703.30 and 263,119.44 is: 393,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,914.36 : 535,703.30 = 263,119.44 : x
  2. Step 2: Convert to fraction form
    357,914.36/535,703.30 = 263,119.44/x
  3. Step 3: Cross multiply
    357,914.36x = 535,703.30 × 263,119.44
  4. Step 4: Simplify right side
    357,914.36x = 140,953,950,986.56
  5. Step 5: Solve for x
    x = 140,953,950,986.56/357,914.36
  6. Step 6: Final answer
    x = 393,820.33

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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.