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Finding the Fourth Proportional to 384,200.70, 576,301.05 and 378,295.80

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Solution

The fourth proportional to 384,200.70, 576,301.05 and 378,295.80 is: 567,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.70 : 576,301.05 = 378,295.80 : x
  2. Step 2: Convert to fraction form
    384,200.70/576,301.05 = 378,295.80/x
  3. Step 3: Cross multiply
    384,200.70x = 576,301.05 × 378,295.80
  4. Step 4: Simplify right side
    384,200.70x = 218,012,266,750.59
  5. Step 5: Solve for x
    x = 218,012,266,750.59/384,200.70
  6. Step 6: Final answer
    x = 567,443.70

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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.