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Finding the Fourth Proportional to 410,825.20, 616,237.80 and 341,705.20

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Solution

The fourth proportional to 410,825.20, 616,237.80 and 341,705.20 is: 512,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,825.20 : 616,237.80 = 341,705.20 : x
  2. Step 2: Convert to fraction form
    410,825.20/616,237.80 = 341,705.20/x
  3. Step 3: Cross multiply
    410,825.20x = 616,237.80 × 341,705.20
  4. Step 4: Simplify right side
    410,825.20x = 210,571,660,696.56
  5. Step 5: Solve for x
    x = 210,571,660,696.56/410,825.20
  6. Step 6: Final answer
    x = 512,557.80

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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.