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Finding the Fourth Proportional to 437,610.40, 656,223.60 and 200,874.40

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Solution

The fourth proportional to 437,610.40, 656,223.60 and 200,874.40 is: 301,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,610.40 : 656,223.60 = 200,874.40 : x
  2. Step 2: Convert to fraction form
    437,610.40/656,223.60 = 200,874.40/x
  3. Step 3: Cross multiply
    437,610.40x = 656,223.60 × 200,874.40
  4. Step 4: Simplify right side
    437,610.40x = 131,818,521,915.84
  5. Step 5: Solve for x
    x = 131,818,521,915.84/437,610.40
  6. Step 6: Final answer
    x = 301,223.47

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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.