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Finding the Fourth Proportional to 416,813.31, 575,201.25 and 225,827.19

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Solution

The fourth proportional to 416,813.31, 575,201.25 and 225,827.19 is: 311,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,813.31 : 575,201.25 = 225,827.19 : x
  2. Step 2: Convert to fraction form
    416,813.31/575,201.25 = 225,827.19/x
  3. Step 3: Cross multiply
    416,813.31x = 575,201.25 × 225,827.19
  4. Step 4: Simplify right side
    416,813.31x = 129,896,081,971.99
  5. Step 5: Solve for x
    x = 129,896,081,971.99/416,813.31
  6. Step 6: Final answer
    x = 311,640.92

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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.