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Finding the Fourth Proportional to 289,495.48, 399,533.22 and 166,992.52

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Solution

The fourth proportional to 289,495.48, 399,533.22 and 166,992.52 is: 230,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,495.48 : 399,533.22 = 166,992.52 : x
  2. Step 2: Convert to fraction form
    289,495.48/399,533.22 = 166,992.52/x
  3. Step 3: Cross multiply
    289,495.48x = 399,533.22 × 166,992.52
  4. Step 4: Simplify right side
    289,495.48x = 66,719,059,231.51
  5. Step 5: Solve for x
    x = 66,719,059,231.51/289,495.48
  6. Step 6: Final answer
    x = 230,466.67

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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.