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Finding the Fourth Proportional to 416,749.16, 575,111.54 and 225,766.28

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Solution

The fourth proportional to 416,749.16, 575,111.54 and 225,766.28 is: 311,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,749.16 : 575,111.54 = 225,766.28 : x
  2. Step 2: Convert to fraction form
    416,749.16/575,111.54 = 225,766.28/x
  3. Step 3: Cross multiply
    416,749.16x = 575,111.54 × 225,766.28
  4. Step 4: Simplify right side
    416,749.16x = 129,840,792,970.87
  5. Step 5: Solve for x
    x = 129,840,792,970.87/416,749.16
  6. Step 6: Final answer
    x = 311,556.22

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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.