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Finding the Fourth Proportional to 283,384.35, 425,075.88 and 194,367.96

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Solution

The fourth proportional to 283,384.35, 425,075.88 and 194,367.96 is: 291,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,384.35 : 425,075.88 = 194,367.96 : x
  2. Step 2: Convert to fraction form
    283,384.35/425,075.88 = 194,367.96/x
  3. Step 3: Cross multiply
    283,384.35x = 425,075.88 × 194,367.96
  4. Step 4: Simplify right side
    283,384.35x = 82,621,131,640.80
  5. Step 5: Solve for x
    x = 82,621,131,640.80/283,384.35
  6. Step 6: Final answer
    x = 291,551.50

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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.