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Finding the Fourth Proportional to 504,198.50, 695,793.93 and 277,844

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Solution

The fourth proportional to 504,198.50, 695,793.93 and 277,844 is: 383,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,198.50 : 695,793.93 = 277,844 : x
  2. Step 2: Convert to fraction form
    504,198.50/695,793.93 = 277,844/x
  3. Step 3: Cross multiply
    504,198.50x = 695,793.93 × 277,844
  4. Step 4: Simplify right side
    504,198.50x = 193,322,168,686.92
  5. Step 5: Solve for x
    x = 193,322,168,686.92/504,198.50
  6. Step 6: Final answer
    x = 383,424.72

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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.