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Finding the Fourth Proportional to 507,649.75, 761,308.53 and 237,694.33

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Solution

The fourth proportional to 507,649.75, 761,308.53 and 237,694.33 is: 356,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,649.75 : 761,308.53 = 237,694.33 : x
  2. Step 2: Convert to fraction form
    507,649.75/761,308.53 = 237,694.33/x
  3. Step 3: Cross multiply
    507,649.75x = 761,308.53 × 237,694.33
  4. Step 4: Simplify right side
    507,649.75x = 180,958,720,961.64
  5. Step 5: Solve for x
    x = 180,958,720,961.64/507,649.75
  6. Step 6: Final answer
    x = 356,463.73

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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.