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Finding the Fourth Proportional to 283,960.70, 425,941.05 and 213,101.90

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Solution

The fourth proportional to 283,960.70, 425,941.05 and 213,101.90 is: 319,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,960.70 : 425,941.05 = 213,101.90 : x
  2. Step 2: Convert to fraction form
    283,960.70/425,941.05 = 213,101.90/x
  3. Step 3: Cross multiply
    283,960.70x = 425,941.05 × 213,101.90
  4. Step 4: Simplify right side
    283,960.70x = 90,768,847,043.00
  5. Step 5: Solve for x
    x = 90,768,847,043.00/283,960.70
  6. Step 6: Final answer
    x = 319,652.85

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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.