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Finding the Fourth Proportional to 397,384.80, 596,077.20 and 378,952.80

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Solution

The fourth proportional to 397,384.80, 596,077.20 and 378,952.80 is: 568,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,384.80 : 596,077.20 = 378,952.80 : x
  2. Step 2: Convert to fraction form
    397,384.80/596,077.20 = 378,952.80/x
  3. Step 3: Cross multiply
    397,384.80x = 596,077.20 × 378,952.80
  4. Step 4: Simplify right side
    397,384.80x = 225,885,123,956.16
  5. Step 5: Solve for x
    x = 225,885,123,956.16/397,384.80
  6. Step 6: Final answer
    x = 568,429.20

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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.