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Finding the Fourth Proportional to 458,399.65, 632,559.84 and 254,434.54

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Solution

The fourth proportional to 458,399.65, 632,559.84 and 254,434.54 is: 351,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,399.65 : 632,559.84 = 254,434.54 : x
  2. Step 2: Convert to fraction form
    458,399.65/632,559.84 = 254,434.54/x
  3. Step 3: Cross multiply
    458,399.65x = 632,559.84 × 254,434.54
  4. Step 4: Simplify right side
    458,399.65x = 160,945,071,912.87
  5. Step 5: Solve for x
    x = 160,945,071,912.87/458,399.65
  6. Step 6: Final answer
    x = 351,102.08

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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.