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Finding the Fourth Proportional to 437,343.40, 656,306.70 and 200,564.20

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Solution

The fourth proportional to 437,343.40, 656,306.70 and 200,564.20 is: 300,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,343.40 : 656,306.70 = 200,564.20 : x
  2. Step 2: Convert to fraction form
    437,343.40/656,306.70 = 200,564.20/x
  3. Step 3: Cross multiply
    437,343.40x = 656,306.70 × 200,564.20
  4. Step 4: Simplify right side
    437,343.40x = 131,631,628,240.14
  5. Step 5: Solve for x
    x = 131,631,628,240.14/437,343.40
  6. Step 6: Final answer
    x = 300,980.03

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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.