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Finding the Fourth Proportional to 341,077.96, 470,648.56 and 195,875.72

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Solution

The fourth proportional to 341,077.96, 470,648.56 and 195,875.72 is: 270,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,077.96 : 470,648.56 = 195,875.72 : x
  2. Step 2: Convert to fraction form
    341,077.96/470,648.56 = 195,875.72/x
  3. Step 3: Cross multiply
    341,077.96x = 470,648.56 × 195,875.72
  4. Step 4: Simplify right side
    341,077.96x = 92,188,625,556.96
  5. Step 5: Solve for x
    x = 92,188,625,556.96/341,077.96
  6. Step 6: Final answer
    x = 270,286.08

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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.