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Finding the Fourth Proportional to 417,073.11, 624,599.39 and 288,629.48

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Solution

The fourth proportional to 417,073.11, 624,599.39 and 288,629.48 is: 432,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,073.11 : 624,599.39 = 288,629.48 : x
  2. Step 2: Convert to fraction form
    417,073.11/624,599.39 = 288,629.48/x
  3. Step 3: Cross multiply
    417,073.11x = 624,599.39 × 288,629.48
  4. Step 4: Simplify right side
    417,073.11x = 180,277,797,144.02
  5. Step 5: Solve for x
    x = 180,277,797,144.02/417,073.11
  6. Step 6: Final answer
    x = 432,245.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.