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Finding the Fourth Proportional to 416,194.48, 574,347.48 and 225,207.80

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Solution

The fourth proportional to 416,194.48, 574,347.48 and 225,207.80 is: 310,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,194.48 : 574,347.48 = 225,207.80 : x
  2. Step 2: Convert to fraction form
    416,194.48/574,347.48 = 225,207.80/x
  3. Step 3: Cross multiply
    416,194.48x = 574,347.48 × 225,207.80
  4. Step 4: Simplify right side
    416,194.48x = 129,347,532,406.34
  5. Step 5: Solve for x
    x = 129,347,532,406.34/416,194.48
  6. Step 6: Final answer
    x = 310,786.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.