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Finding the Fourth Proportional to 437,208.40, 656,104.20 and 200,429.20

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Solution

The fourth proportional to 437,208.40, 656,104.20 and 200,429.20 is: 300,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,208.40 : 656,104.20 = 200,429.20 : x
  2. Step 2: Convert to fraction form
    437,208.40/656,104.20 = 200,429.20/x
  3. Step 3: Cross multiply
    437,208.40x = 656,104.20 × 200,429.20
  4. Step 4: Simplify right side
    437,208.40x = 131,502,439,922.64
  5. Step 5: Solve for x
    x = 131,502,439,922.64/437,208.40
  6. Step 6: Final answer
    x = 300,777.48

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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.