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Finding the Fourth Proportional to 646,577.96, 892,305.24 and 360,098

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Solution

The fourth proportional to 646,577.96, 892,305.24 and 360,098 is: 496,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,577.96 : 892,305.24 = 360,098 : x
  2. Step 2: Convert to fraction form
    646,577.96/892,305.24 = 360,098/x
  3. Step 3: Cross multiply
    646,577.96x = 892,305.24 × 360,098
  4. Step 4: Simplify right side
    646,577.96x = 321,317,332,313.52
  5. Step 5: Solve for x
    x = 321,317,332,313.52/646,577.96
  6. Step 6: Final answer
    x = 496,950.64

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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.