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Finding the Fourth Proportional to 471,541.86, 650,535.57 and 290,199.06

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Solution

The fourth proportional to 471,541.86, 650,535.57 and 290,199.06 is: 400,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,541.86 : 650,535.57 = 290,199.06 : x
  2. Step 2: Convert to fraction form
    471,541.86/650,535.57 = 290,199.06/x
  3. Step 3: Cross multiply
    471,541.86x = 650,535.57 × 290,199.06
  4. Step 4: Simplify right side
    471,541.86x = 188,784,810,910.56
  5. Step 5: Solve for x
    x = 188,784,810,910.56/471,541.86
  6. Step 6: Final answer
    x = 400,356.42

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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.