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Finding the Fourth Proportional to 547,955.14, 821,790.15 and 232,249.54

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Solution

The fourth proportional to 547,955.14, 821,790.15 and 232,249.54 is: 348,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,955.14 : 821,790.15 = 232,249.54 : x
  2. Step 2: Convert to fraction form
    547,955.14/821,790.15 = 232,249.54/x
  3. Step 3: Cross multiply
    547,955.14x = 821,790.15 × 232,249.54
  4. Step 4: Simplify right side
    547,955.14x = 190,860,384,314.03
  5. Step 5: Solve for x
    x = 190,860,384,314.03/547,955.14
  6. Step 6: Final answer
    x = 348,313.89

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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.