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Finding the Fourth Proportional to 378,614.14, 567,086.81 and 312,953.00

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Solution

The fourth proportional to 378,614.14, 567,086.81 and 312,953.00 is: 468,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,614.14 : 567,086.81 = 312,953.00 : x
  2. Step 2: Convert to fraction form
    378,614.14/567,086.81 = 312,953.00/x
  3. Step 3: Cross multiply
    378,614.14x = 567,086.81 × 312,953.00
  4. Step 4: Simplify right side
    378,614.14x = 177,471,516,396.88
  5. Step 5: Solve for x
    x = 177,471,516,396.88/378,614.14
  6. Step 6: Final answer
    x = 468,739.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.