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Finding the Fourth Proportional to 584,268.72, 876,786 and 205,179.54

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Solution

The fourth proportional to 584,268.72, 876,786 and 205,179.54 is: 307,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,268.72 : 876,786 = 205,179.54 : x
  2. Step 2: Convert to fraction form
    584,268.72/876,786 = 205,179.54/x
  3. Step 3: Cross multiply
    584,268.72x = 876,786 × 205,179.54
  4. Step 4: Simplify right side
    584,268.72x = 179,898,548,158.44
  5. Step 5: Solve for x
    x = 179,898,548,158.44/584,268.72
  6. Step 6: Final answer
    x = 307,903.78

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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.