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Finding the Fourth Proportional to 433,713.48, 650,408.42 and 149,323.69

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Solution

The fourth proportional to 433,713.48, 650,408.42 and 149,323.69 is: 223,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,713.48 : 650,408.42 = 149,323.69 : x
  2. Step 2: Convert to fraction form
    433,713.48/650,408.42 = 149,323.69/x
  3. Step 3: Cross multiply
    433,713.48x = 650,408.42 × 149,323.69
  4. Step 4: Simplify right side
    433,713.48x = 97,121,384,534.85
  5. Step 5: Solve for x
    x = 97,121,384,534.85/433,713.48
  6. Step 6: Final answer
    x = 223,929.83

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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.