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Finding the Fourth Proportional to 546,782.20, 821,048.10 and 413,812.60

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Solution

The fourth proportional to 546,782.20, 821,048.10 and 413,812.60 is: 621,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,782.20 : 821,048.10 = 413,812.60 : x
  2. Step 2: Convert to fraction form
    546,782.20/821,048.10 = 413,812.60/x
  3. Step 3: Cross multiply
    546,782.20x = 821,048.10 × 413,812.60
  4. Step 4: Simplify right side
    546,782.20x = 339,760,048,986.06
  5. Step 5: Solve for x
    x = 339,760,048,986.06/546,782.20
  6. Step 6: Final answer
    x = 621,380.96

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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.