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Finding the Fourth Proportional to 422,668.48, 583,289.56 and 229,082.39

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Solution

The fourth proportional to 422,668.48, 583,289.56 and 229,082.39 is: 316,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,668.48 : 583,289.56 = 229,082.39 : x
  2. Step 2: Convert to fraction form
    422,668.48/583,289.56 = 229,082.39/x
  3. Step 3: Cross multiply
    422,668.48x = 583,289.56 × 229,082.39
  4. Step 4: Simplify right side
    422,668.48x = 133,621,363,550.40
  5. Step 5: Solve for x
    x = 133,621,363,550.40/422,668.48
  6. Step 6: Final answer
    x = 316,137.52

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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.