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Finding the Fourth Proportional to 546,717.60, 820,076.40 and 251,805.60

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Solution

The fourth proportional to 546,717.60, 820,076.40 and 251,805.60 is: 377,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,717.60 : 820,076.40 = 251,805.60 : x
  2. Step 2: Convert to fraction form
    546,717.60/820,076.40 = 251,805.60/x
  3. Step 3: Cross multiply
    546,717.60x = 820,076.40 × 251,805.60
  4. Step 4: Simplify right side
    546,717.60x = 206,499,829,947.84
  5. Step 5: Solve for x
    x = 206,499,829,947.84/546,717.60
  6. Step 6: Final answer
    x = 377,708.40

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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.