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Finding the Fourth Proportional to 543,610.36, 815,093.56 and 164,416.15

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Solution

The fourth proportional to 543,610.36, 815,093.56 and 164,416.15 is: 246,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,610.36 : 815,093.56 = 164,416.15 : x
  2. Step 2: Convert to fraction form
    543,610.36/815,093.56 = 164,416.15/x
  3. Step 3: Cross multiply
    543,610.36x = 815,093.56 × 164,416.15
  4. Step 4: Simplify right side
    543,610.36x = 134,014,545,024.99
  5. Step 5: Solve for x
    x = 134,014,545,024.99/543,610.36
  6. Step 6: Final answer
    x = 246,526.84

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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.