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Finding the Fourth Proportional to 416,627.44, 574,981.24 and 235,372.60

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Solution

The fourth proportional to 416,627.44, 574,981.24 and 235,372.60 is: 324,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,627.44 : 574,981.24 = 235,372.60 : x
  2. Step 2: Convert to fraction form
    416,627.44/574,981.24 = 235,372.60/x
  3. Step 3: Cross multiply
    416,627.44x = 574,981.24 × 235,372.60
  4. Step 4: Simplify right side
    416,627.44x = 135,334,829,410.02
  5. Step 5: Solve for x
    x = 135,334,829,410.02/416,627.44
  6. Step 6: Final answer
    x = 324,834.17

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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.