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Finding the Fourth Proportional to 458,892.83, 633,201.75 and 254,940.50

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Solution

The fourth proportional to 458,892.83, 633,201.75 and 254,940.50 is: 351,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,892.83 : 633,201.75 = 254,940.50 : x
  2. Step 2: Convert to fraction form
    458,892.83/633,201.75 = 254,940.50/x
  3. Step 3: Cross multiply
    458,892.83x = 633,201.75 × 254,940.50
  4. Step 4: Simplify right side
    458,892.83x = 161,428,767,579.87
  5. Step 5: Solve for x
    x = 161,428,767,579.87/458,892.83
  6. Step 6: Final answer
    x = 351,778.80

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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.