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Finding the Fourth Proportional to 492,104.30, 679,103.93 and 265,749.78

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Solution

The fourth proportional to 492,104.30, 679,103.93 and 265,749.78 is: 366,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,104.30 : 679,103.93 = 265,749.78 : x
  2. Step 2: Convert to fraction form
    492,104.30/679,103.93 = 265,749.78/x
  3. Step 3: Cross multiply
    492,104.30x = 679,103.93 × 265,749.78
  4. Step 4: Simplify right side
    492,104.30x = 180,471,719,994.64
  5. Step 5: Solve for x
    x = 180,471,719,994.64/492,104.30
  6. Step 6: Final answer
    x = 366,734.69

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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.