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Finding the Fourth Proportional to 458,518.20, 632,795.13 and 254,608.80

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Solution

The fourth proportional to 458,518.20, 632,795.13 and 254,608.80 is: 351,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,518.20 : 632,795.13 = 254,608.80 : x
  2. Step 2: Convert to fraction form
    458,518.20/632,795.13 = 254,608.80/x
  3. Step 3: Cross multiply
    458,518.20x = 632,795.13 × 254,608.80
  4. Step 4: Simplify right side
    458,518.20x = 161,115,208,695.14
  5. Step 5: Solve for x
    x = 161,115,208,695.14/458,518.20
  6. Step 6: Final answer
    x = 351,382.36

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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.