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Finding the Fourth Proportional to 546,822.60, 820,233.90 and 511,571.40

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Solution

The fourth proportional to 546,822.60, 820,233.90 and 511,571.40 is: 767,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,822.60 : 820,233.90 = 511,571.40 : x
  2. Step 2: Convert to fraction form
    546,822.60/820,233.90 = 511,571.40/x
  3. Step 3: Cross multiply
    546,822.60x = 820,233.90 × 511,571.40
  4. Step 4: Simplify right side
    546,822.60x = 419,608,204,550.46
  5. Step 5: Solve for x
    x = 419,608,204,550.46/546,822.60
  6. Step 6: Final answer
    x = 767,357.10

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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.