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Finding the Fourth Proportional to 370,688.52, 511,550.70 and 200,922.60

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Solution

The fourth proportional to 370,688.52, 511,550.70 and 200,922.60 is: 277,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,688.52 : 511,550.70 = 200,922.60 : x
  2. Step 2: Convert to fraction form
    370,688.52/511,550.70 = 200,922.60/x
  3. Step 3: Cross multiply
    370,688.52x = 511,550.70 × 200,922.60
  4. Step 4: Simplify right side
    370,688.52x = 102,782,096,675.82
  5. Step 5: Solve for x
    x = 102,782,096,675.82/370,688.52
  6. Step 6: Final answer
    x = 277,273.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.