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Finding the Fourth Proportional to 314,634.75, 434,163.58 and 176,791.78

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Solution

The fourth proportional to 314,634.75, 434,163.58 and 176,791.78 is: 243,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,634.75 : 434,163.58 = 176,791.78 : x
  2. Step 2: Convert to fraction form
    314,634.75/434,163.58 = 176,791.78/x
  3. Step 3: Cross multiply
    314,634.75x = 434,163.58 × 176,791.78
  4. Step 4: Simplify right side
    314,634.75x = 76,756,552,119.37
  5. Step 5: Solve for x
    x = 76,756,552,119.37/314,634.75
  6. Step 6: Final answer
    x = 243,954.47

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1.5x scale

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.