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Finding the Fourth Proportional to 290,954.96, 401,289.87 and 199,128.56

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Solution

The fourth proportional to 290,954.96, 401,289.87 and 199,128.56 is: 274,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,954.96 : 401,289.87 = 199,128.56 : x
  2. Step 2: Convert to fraction form
    290,954.96/401,289.87 = 199,128.56/x
  3. Step 3: Cross multiply
    290,954.96x = 401,289.87 × 199,128.56
  4. Step 4: Simplify right side
    290,954.96x = 79,908,273,955.69
  5. Step 5: Solve for x
    x = 79,908,273,955.69/290,954.96
  6. Step 6: Final answer
    x = 274,641.39

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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.