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Finding the Fourth Proportional to 416,822.86, 575,208.02 and 235,530.88

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Solution

The fourth proportional to 416,822.86, 575,208.02 and 235,530.88 is: 325,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,822.86 : 575,208.02 = 235,530.88 : x
  2. Step 2: Convert to fraction form
    416,822.86/575,208.02 = 235,530.88/x
  3. Step 3: Cross multiply
    416,822.86x = 575,208.02 × 235,530.88
  4. Step 4: Simplify right side
    416,822.86x = 135,479,251,133.66
  5. Step 5: Solve for x
    x = 135,479,251,133.66/416,822.86
  6. Step 6: Final answer
    x = 325,028.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.