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Finding the Fourth Proportional to 323,709.39, 446,776.65 and 202,954.17

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Solution

The fourth proportional to 323,709.39, 446,776.65 and 202,954.17 is: 280,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,709.39 : 446,776.65 = 202,954.17 : x
  2. Step 2: Convert to fraction form
    323,709.39/446,776.65 = 202,954.17/x
  3. Step 3: Cross multiply
    323,709.39x = 446,776.65 × 202,954.17
  4. Step 4: Simplify right side
    323,709.39x = 90,675,184,176.13
  5. Step 5: Solve for x
    x = 90,675,184,176.13/323,709.39
  6. Step 6: Final answer
    x = 280,112.93

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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.