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Finding the Fourth Proportional to 416,723.36, 575,044.06 and 235,451

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Solution

The fourth proportional to 416,723.36, 575,044.06 and 235,451 is: 324,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,723.36 : 575,044.06 = 235,451 : x
  2. Step 2: Convert to fraction form
    416,723.36/575,044.06 = 235,451/x
  3. Step 3: Cross multiply
    416,723.36x = 575,044.06 × 235,451
  4. Step 4: Simplify right side
    416,723.36x = 135,394,698,971.06
  5. Step 5: Solve for x
    x = 135,394,698,971.06/416,723.36
  6. Step 6: Final answer
    x = 324,903.07

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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.