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Finding the Fourth Proportional to 469,471.22, 704,246.22 and 149,668.52

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Solution

The fourth proportional to 469,471.22, 704,246.22 and 149,668.52 is: 224,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,471.22 : 704,246.22 = 149,668.52 : x
  2. Step 2: Convert to fraction form
    469,471.22/704,246.22 = 149,668.52/x
  3. Step 3: Cross multiply
    469,471.22x = 704,246.22 × 149,668.52
  4. Step 4: Simplify right side
    469,471.22x = 105,403,489,462.99
  5. Step 5: Solve for x
    x = 105,403,489,462.99/469,471.22
  6. Step 6: Final answer
    x = 224,515.34

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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.