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Finding the Fourth Proportional to 397,209.60, 595,814.40 and 219,625.20

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Solution

The fourth proportional to 397,209.60, 595,814.40 and 219,625.20 is: 329,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,209.60 : 595,814.40 = 219,625.20 : x
  2. Step 2: Convert to fraction form
    397,209.60/595,814.40 = 219,625.20/x
  3. Step 3: Cross multiply
    397,209.60x = 595,814.40 × 219,625.20
  4. Step 4: Simplify right side
    397,209.60x = 130,855,856,762.88
  5. Step 5: Solve for x
    x = 130,855,856,762.88/397,209.60
  6. Step 6: Final answer
    x = 329,437.80

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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.