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Finding the Fourth Proportional to 471,120.86, 650,511.71 and 362,052.43

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Solution

The fourth proportional to 471,120.86, 650,511.71 and 362,052.43 is: 499,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,120.86 : 650,511.71 = 362,052.43 : x
  2. Step 2: Convert to fraction form
    471,120.86/650,511.71 = 362,052.43/x
  3. Step 3: Cross multiply
    471,120.86x = 650,511.71 × 362,052.43
  4. Step 4: Simplify right side
    471,120.86x = 235,519,346,929.24
  5. Step 5: Solve for x
    x = 235,519,346,929.24/471,120.86
  6. Step 6: Final answer
    x = 499,912.80

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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.