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Finding the Fourth Proportional to 548,978.76, 823,534.56 and 193,920.12

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Solution

The fourth proportional to 548,978.76, 823,534.56 and 193,920.12 is: 290,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,978.76 : 823,534.56 = 193,920.12 : x
  2. Step 2: Convert to fraction form
    548,978.76/823,534.56 = 193,920.12/x
  3. Step 3: Cross multiply
    548,978.76x = 823,534.56 × 193,920.12
  4. Step 4: Simplify right side
    548,978.76x = 159,699,920,699.35
  5. Step 5: Solve for x
    x = 159,699,920,699.35/548,978.76
  6. Step 6: Final answer
    x = 290,903.64

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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.