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Finding the Fourth Proportional to 315,874.14, 475,942.37 and 260,944.80

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Solution

The fourth proportional to 315,874.14, 475,942.37 and 260,944.80 is: 393,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,874.14 : 475,942.37 = 260,944.80 : x
  2. Step 2: Convert to fraction form
    315,874.14/475,942.37 = 260,944.80/x
  3. Step 3: Cross multiply
    315,874.14x = 475,942.37 × 260,944.80
  4. Step 4: Simplify right side
    315,874.14x = 124,194,686,551.18
  5. Step 5: Solve for x
    x = 124,194,686,551.18/315,874.14
  6. Step 6: Final answer
    x = 393,177.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.