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Finding the Fourth Proportional to 416,204.96, 574,364.36 and 225,218.35

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Solution

The fourth proportional to 416,204.96, 574,364.36 and 225,218.35 is: 310,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,204.96 : 574,364.36 = 225,218.35 : x
  2. Step 2: Convert to fraction form
    416,204.96/574,364.36 = 225,218.35/x
  3. Step 3: Cross multiply
    416,204.96x = 574,364.36 × 225,218.35
  4. Step 4: Simplify right side
    416,204.96x = 129,357,393,458.01
  5. Step 5: Solve for x
    x = 129,357,393,458.01/416,204.96
  6. Step 6: Final answer
    x = 310,802.14

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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.