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Finding the Fourth Proportional to 383,676.80, 576,206.40 and 278,614.40

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Solution

The fourth proportional to 383,676.80, 576,206.40 and 278,614.40 is: 418,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,676.80 : 576,206.40 = 278,614.40 : x
  2. Step 2: Convert to fraction form
    383,676.80/576,206.40 = 278,614.40/x
  3. Step 3: Cross multiply
    383,676.80x = 576,206.40 × 278,614.40
  4. Step 4: Simplify right side
    383,676.80x = 160,539,400,412.16
  5. Step 5: Solve for x
    x = 160,539,400,412.16/383,676.80
  6. Step 6: Final answer
    x = 418,423.53

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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.