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Finding the Fourth Proportional to 465,369.84, 699,104.52 and 278,512.56

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Solution

The fourth proportional to 465,369.84, 699,104.52 and 278,512.56 is: 418,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,369.84 : 699,104.52 = 278,512.56 : x
  2. Step 2: Convert to fraction form
    465,369.84/699,104.52 = 278,512.56/x
  3. Step 3: Cross multiply
    465,369.84x = 699,104.52 × 278,512.56
  4. Step 4: Simplify right side
    465,369.84x = 194,709,389,572.77
  5. Step 5: Solve for x
    x = 194,709,389,572.77/465,369.84
  6. Step 6: Final answer
    x = 418,397.10

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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.