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Finding the Fourth Proportional to 433,668.06, 650,151.49 and 181,142.01

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Solution

The fourth proportional to 433,668.06, 650,151.49 and 181,142.01 is: 271,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,668.06 : 650,151.49 = 181,142.01 : x
  2. Step 2: Convert to fraction form
    433,668.06/650,151.49 = 181,142.01/x
  3. Step 3: Cross multiply
    433,668.06x = 650,151.49 × 181,142.01
  4. Step 4: Simplify right side
    433,668.06x = 117,769,747,703.10
  5. Step 5: Solve for x
    x = 117,769,747,703.10/433,668.06
  6. Step 6: Final answer
    x = 271,566.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.