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Finding the Fourth Proportional to 416,214.77, 574,380.49 and 225,232.26

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Solution

The fourth proportional to 416,214.77, 574,380.49 and 225,232.26 is: 310,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,214.77 : 574,380.49 = 225,232.26 : x
  2. Step 2: Convert to fraction form
    416,214.77/574,380.49 = 225,232.26/x
  3. Step 3: Cross multiply
    416,214.77x = 574,380.49 × 225,232.26
  4. Step 4: Simplify right side
    416,214.77x = 129,369,018,097.51
  5. Step 5: Solve for x
    x = 129,369,018,097.51/416,214.77
  6. Step 6: Final answer
    x = 310,822.74

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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.