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Finding the Fourth Proportional to 416,834.64, 575,224.24 and 235,542.72

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Solution

The fourth proportional to 416,834.64, 575,224.24 and 235,542.72 is: 325,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,834.64 : 575,224.24 = 235,542.72 : x
  2. Step 2: Convert to fraction form
    416,834.64/575,224.24 = 235,542.72/x
  3. Step 3: Cross multiply
    416,834.64x = 575,224.24 × 235,542.72
  4. Step 4: Simplify right side
    416,834.64x = 135,489,882,099.53
  5. Step 5: Solve for x
    x = 135,489,882,099.53/416,834.64
  6. Step 6: Final answer
    x = 325,044.68

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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.