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Finding the Fourth Proportional to 416,562.86, 574,858.86 and 225,577.01

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Solution

The fourth proportional to 416,562.86, 574,858.86 and 225,577.01 is: 311,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,562.86 : 574,858.86 = 225,577.01 : x
  2. Step 2: Convert to fraction form
    416,562.86/574,858.86 = 225,577.01/x
  3. Step 3: Cross multiply
    416,562.86x = 574,858.86 × 225,577.01
  4. Step 4: Simplify right side
    416,562.86x = 129,674,943,402.04
  5. Step 5: Solve for x
    x = 129,674,943,402.04/416,562.86
  6. Step 6: Final answer
    x = 311,297.42

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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.