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Finding the Fourth Proportional to 448,407.42, 672,771.60 and 192,132.42

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Solution

The fourth proportional to 448,407.42, 672,771.60 and 192,132.42 is: 288,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,407.42 : 672,771.60 = 192,132.42 : x
  2. Step 2: Convert to fraction form
    448,407.42/672,771.60 = 192,132.42/x
  3. Step 3: Cross multiply
    448,407.42x = 672,771.60 × 192,132.42
  4. Step 4: Simplify right side
    448,407.42x = 129,261,235,615.27
  5. Step 5: Solve for x
    x = 129,261,235,615.27/448,407.42
  6. Step 6: Final answer
    x = 288,267.39

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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.