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Finding the Fourth Proportional to 505,065.14, 696,986.46 and 278,710.64

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Solution

The fourth proportional to 505,065.14, 696,986.46 and 278,710.64 is: 384,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,065.14 : 696,986.46 = 278,710.64 : x
  2. Step 2: Convert to fraction form
    505,065.14/696,986.46 = 278,710.64/x
  3. Step 3: Cross multiply
    505,065.14x = 696,986.46 × 278,710.64
  4. Step 4: Simplify right side
    505,065.14x = 194,257,538,853.00
  5. Step 5: Solve for x
    x = 194,257,538,853.00/505,065.14
  6. Step 6: Final answer
    x = 384,618.79

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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.