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Finding the Fourth Proportional to 410,912.20, 616,368.30 and 347,926.60

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Solution

The fourth proportional to 410,912.20, 616,368.30 and 347,926.60 is: 521,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,912.20 : 616,368.30 = 347,926.60 : x
  2. Step 2: Convert to fraction form
    410,912.20/616,368.30 = 347,926.60/x
  3. Step 3: Cross multiply
    410,912.20x = 616,368.30 × 347,926.60
  4. Step 4: Simplify right side
    410,912.20x = 214,450,926,966.78
  5. Step 5: Solve for x
    x = 214,450,926,966.78/410,912.20
  6. Step 6: Final answer
    x = 521,889.90

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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.