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Finding the Fourth Proportional to 492,853.82, 680,212.08 and 301,977.92

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Solution

The fourth proportional to 492,853.82, 680,212.08 and 301,977.92 is: 416,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,853.82 : 680,212.08 = 301,977.92 : x
  2. Step 2: Convert to fraction form
    492,853.82/680,212.08 = 301,977.92/x
  3. Step 3: Cross multiply
    492,853.82x = 680,212.08 × 301,977.92
  4. Step 4: Simplify right side
    492,853.82x = 205,409,029,077.27
  5. Step 5: Solve for x
    x = 205,409,029,077.27/492,853.82
  6. Step 6: Final answer
    x = 416,774.75

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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.