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Finding the Fourth Proportional to 507,240.24, 699,871.32 and 300,404.22

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Solution

The fourth proportional to 507,240.24, 699,871.32 and 300,404.22 is: 414,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,240.24 : 699,871.32 = 300,404.22 : x
  2. Step 2: Convert to fraction form
    507,240.24/699,871.32 = 300,404.22/x
  3. Step 3: Cross multiply
    507,240.24x = 699,871.32 × 300,404.22
  4. Step 4: Simplify right side
    507,240.24x = 210,244,297,984.97
  5. Step 5: Solve for x
    x = 210,244,297,984.97/507,240.24
  6. Step 6: Final answer
    x = 414,486.63

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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.