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Finding the Fourth Proportional to 291,270.27, 401,927.35 and 162,198.99

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Solution

The fourth proportional to 291,270.27, 401,927.35 and 162,198.99 is: 223,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,270.27 : 401,927.35 = 162,198.99 : x
  2. Step 2: Convert to fraction form
    291,270.27/401,927.35 = 162,198.99/x
  3. Step 3: Cross multiply
    291,270.27x = 401,927.35 × 162,198.99
  4. Step 4: Simplify right side
    291,270.27x = 65,192,210,223.38
  5. Step 5: Solve for x
    x = 65,192,210,223.38/291,270.27
  6. Step 6: Final answer
    x = 223,820.34

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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.