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Finding the Fourth Proportional to 323,673.56, 446,722.14 and 194,742.35

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Solution

The fourth proportional to 323,673.56, 446,722.14 and 194,742.35 is: 268,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,673.56 : 446,722.14 = 194,742.35 : x
  2. Step 2: Convert to fraction form
    323,673.56/446,722.14 = 194,742.35/x
  3. Step 3: Cross multiply
    323,673.56x = 446,722.14 × 194,742.35
  4. Step 4: Simplify right side
    323,673.56x = 86,995,719,340.63
  5. Step 5: Solve for x
    x = 86,995,719,340.63/323,673.56
  6. Step 6: Final answer
    x = 268,776.11

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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.