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Finding the Fourth Proportional to 507,493.28, 761,001.52 and 294,321.80

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Solution

The fourth proportional to 507,493.28, 761,001.52 and 294,321.80 is: 441,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,493.28 : 761,001.52 = 294,321.80 : x
  2. Step 2: Convert to fraction form
    507,493.28/761,001.52 = 294,321.80/x
  3. Step 3: Cross multiply
    507,493.28x = 761,001.52 × 294,321.80
  4. Step 4: Simplify right side
    507,493.28x = 223,979,337,169.14
  5. Step 5: Solve for x
    x = 223,979,337,169.14/507,493.28
  6. Step 6: Final answer
    x = 441,344.44

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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.