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Finding the Fourth Proportional to 584,295.61, 876,493.69 and 205,183.82

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Solution

The fourth proportional to 584,295.61, 876,493.69 and 205,183.82 is: 307,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,295.61 : 876,493.69 = 205,183.82 : x
  2. Step 2: Convert to fraction form
    584,295.61/876,493.69 = 205,183.82/x
  3. Step 3: Cross multiply
    584,295.61x = 876,493.69 × 205,183.82
  4. Step 4: Simplify right side
    584,295.61x = 179,842,323,520.10
  5. Step 5: Solve for x
    x = 179,842,323,520.10/584,295.61
  6. Step 6: Final answer
    x = 307,793.38

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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.