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Finding the Fourth Proportional to 474,162.85, 654,146.26 and 310,858.56

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Solution

The fourth proportional to 474,162.85, 654,146.26 and 310,858.56 is: 428,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,162.85 : 654,146.26 = 310,858.56 : x
  2. Step 2: Convert to fraction form
    474,162.85/654,146.26 = 310,858.56/x
  3. Step 3: Cross multiply
    474,162.85x = 654,146.26 × 310,858.56
  4. Step 4: Simplify right side
    474,162.85x = 203,346,964,412.99
  5. Step 5: Solve for x
    x = 203,346,964,412.99/474,162.85
  6. Step 6: Final answer
    x = 428,854.69

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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.