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Finding the Fourth Proportional to 516,785.56, 713,003.79 and 301,770.52

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Solution

The fourth proportional to 516,785.56, 713,003.79 and 301,770.52 is: 416,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,785.56 : 713,003.79 = 301,770.52 : x
  2. Step 2: Convert to fraction form
    516,785.56/713,003.79 = 301,770.52/x
  3. Step 3: Cross multiply
    516,785.56x = 713,003.79 × 301,770.52
  4. Step 4: Simplify right side
    516,785.56x = 215,163,524,470.27
  5. Step 5: Solve for x
    x = 215,163,524,470.27/516,785.56
  6. Step 6: Final answer
    x = 416,349.72

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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.