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Finding the Fourth Proportional to 290,928.15, 401,476.01 and 161,865.27

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Solution

The fourth proportional to 290,928.15, 401,476.01 and 161,865.27 is: 223,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,928.15 : 401,476.01 = 161,865.27 : x
  2. Step 2: Convert to fraction form
    290,928.15/401,476.01 = 161,865.27/x
  3. Step 3: Cross multiply
    290,928.15x = 401,476.01 × 161,865.27
  4. Step 4: Simplify right side
    290,928.15x = 64,985,021,947.85
  5. Step 5: Solve for x
    x = 64,985,021,947.85/290,928.15
  6. Step 6: Final answer
    x = 223,371.38

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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.