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Finding the Fourth Proportional to 416,205.96, 574,365.74 and 225,219.35

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Solution

The fourth proportional to 416,205.96, 574,365.74 and 225,219.35 is: 310,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,205.96 : 574,365.74 = 225,219.35 : x
  2. Step 2: Convert to fraction form
    416,205.96/574,365.74 = 225,219.35/x
  3. Step 3: Cross multiply
    416,205.96x = 574,365.74 × 225,219.35
  4. Step 4: Simplify right side
    416,205.96x = 129,358,278,625.07
  5. Step 5: Solve for x
    x = 129,358,278,625.07/416,205.96
  6. Step 6: Final answer
    x = 310,803.52

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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.