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Finding the Fourth Proportional to 458,720.38, 633,012.64 and 254,783.75

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Solution

The fourth proportional to 458,720.38, 633,012.64 and 254,783.75 is: 351,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,720.38 : 633,012.64 = 254,783.75 : x
  2. Step 2: Convert to fraction form
    458,720.38/633,012.64 = 254,783.75/x
  3. Step 3: Cross multiply
    458,720.38x = 633,012.64 × 254,783.75
  4. Step 4: Simplify right side
    458,720.38x = 161,281,330,414.58
  5. Step 5: Solve for x
    x = 161,281,330,414.58/458,720.38
  6. Step 6: Final answer
    x = 351,589.63

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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.