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Finding the Fourth Proportional to 505,251.36, 697,242.60 and 278,892

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Solution

The fourth proportional to 505,251.36, 697,242.60 and 278,892 is: 384,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,251.36 : 697,242.60 = 278,892 : x
  2. Step 2: Convert to fraction form
    505,251.36/697,242.60 = 278,892/x
  3. Step 3: Cross multiply
    505,251.36x = 697,242.60 × 278,892
  4. Step 4: Simplify right side
    505,251.36x = 194,455,383,199.20
  5. Step 5: Solve for x
    x = 194,455,383,199.20/505,251.36
  6. Step 6: Final answer
    x = 384,868.60

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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.