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Finding the Fourth Proportional to 505,331.76, 757,141.14 and 305,231.76

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Solution

The fourth proportional to 505,331.76, 757,141.14 and 305,231.76 is: 457,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,331.76 : 757,141.14 = 305,231.76 : x
  2. Step 2: Convert to fraction form
    505,331.76/757,141.14 = 305,231.76/x
  3. Step 3: Cross multiply
    505,331.76x = 757,141.14 × 305,231.76
  4. Step 4: Simplify right side
    505,331.76x = 231,103,522,730.61
  5. Step 5: Solve for x
    x = 231,103,522,730.61/505,331.76
  6. Step 6: Final answer
    x = 457,330.29

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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.