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Finding the Fourth Proportional to 490,178.45, 735,897.35 and 377,929.97

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Solution

The fourth proportional to 490,178.45, 735,897.35 and 377,929.97 is: 567,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,178.45 : 735,897.35 = 377,929.97 : x
  2. Step 2: Convert to fraction form
    490,178.45/735,897.35 = 377,929.97/x
  3. Step 3: Cross multiply
    490,178.45x = 735,897.35 × 377,929.97
  4. Step 4: Simplify right side
    490,178.45x = 278,117,657,839.44
  5. Step 5: Solve for x
    x = 278,117,657,839.44/490,178.45
  6. Step 6: Final answer
    x = 567,380.43

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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.