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Finding the Fourth Proportional to 471,561.39, 650,804.36 and 412,880.54

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Solution

The fourth proportional to 471,561.39, 650,804.36 and 412,880.54 is: 569,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,561.39 : 650,804.36 = 412,880.54 : x
  2. Step 2: Convert to fraction form
    471,561.39/650,804.36 = 412,880.54/x
  3. Step 3: Cross multiply
    471,561.39x = 650,804.36 × 412,880.54
  4. Step 4: Simplify right side
    471,561.39x = 268,704,450,272.73
  5. Step 5: Solve for x
    x = 268,704,450,272.73/471,561.39
  6. Step 6: Final answer
    x = 569,818.60

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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.