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Finding the Fourth Proportional to 471,662.72, 650,879.52 and 280,632.32

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Solution

The fourth proportional to 471,662.72, 650,879.52 and 280,632.32 is: 387,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,662.72 : 650,879.52 = 280,632.32 : x
  2. Step 2: Convert to fraction form
    471,662.72/650,879.52 = 280,632.32/x
  3. Step 3: Cross multiply
    471,662.72x = 650,879.52 × 280,632.32
  4. Step 4: Simplify right side
    471,662.72x = 182,657,829,738.09
  5. Step 5: Solve for x
    x = 182,657,829,738.09/471,662.72
  6. Step 6: Final answer
    x = 387,263.66

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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.