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Finding the Fourth Proportional to 422,533.71, 633,829.83 and 169,814.42

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Solution

The fourth proportional to 422,533.71, 633,829.83 and 169,814.42 is: 254,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,533.71 : 633,829.83 = 169,814.42 : x
  2. Step 2: Convert to fraction form
    422,533.71/633,829.83 = 169,814.42/x
  3. Step 3: Cross multiply
    422,533.71x = 633,829.83 × 169,814.42
  4. Step 4: Simplify right side
    422,533.71x = 107,633,443,531.06
  5. Step 5: Solve for x
    x = 107,633,443,531.06/422,533.71
  6. Step 6: Final answer
    x = 254,733.39

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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.