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Finding the Fourth Proportional to 546,647.16, 819,404.82 and 265,815.48

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Solution

The fourth proportional to 546,647.16, 819,404.82 and 265,815.48 is: 398,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,647.16 : 819,404.82 = 265,815.48 : x
  2. Step 2: Convert to fraction form
    546,647.16/819,404.82 = 265,815.48/x
  3. Step 3: Cross multiply
    546,647.16x = 819,404.82 × 265,815.48
  4. Step 4: Simplify right side
    546,647.16x = 217,810,485,542.61
  5. Step 5: Solve for x
    x = 217,810,485,542.61/546,647.16
  6. Step 6: Final answer
    x = 398,448.03

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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.