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Finding the Fourth Proportional to 505,234.38, 697,173.80 and 278,865.30

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Solution

The fourth proportional to 505,234.38, 697,173.80 and 278,865.30 is: 384,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,234.38 : 697,173.80 = 278,865.30 : x
  2. Step 2: Convert to fraction form
    505,234.38/697,173.80 = 278,865.30/x
  3. Step 3: Cross multiply
    505,234.38x = 697,173.80 × 278,865.30
  4. Step 4: Simplify right side
    505,234.38x = 194,417,580,889.14
  5. Step 5: Solve for x
    x = 194,417,580,889.14/505,234.38
  6. Step 6: Final answer
    x = 384,806.71

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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.