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Finding the Fourth Proportional to 416,825.85, 575,212.16 and 235,533.88

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Solution

The fourth proportional to 416,825.85, 575,212.16 and 235,533.88 is: 325,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,825.85 : 575,212.16 = 235,533.88 : x
  2. Step 2: Convert to fraction form
    416,825.85/575,212.16 = 235,533.88/x
  3. Step 3: Cross multiply
    416,825.85x = 575,212.16 × 235,533.88
  4. Step 4: Simplify right side
    416,825.85x = 135,481,949,277.82
  5. Step 5: Solve for x
    x = 135,481,949,277.82/416,825.85
  6. Step 6: Final answer
    x = 325,032.50

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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.