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Finding the Fourth Proportional to 413,491.31, 620,346.31 and 223,867.47

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Solution

The fourth proportional to 413,491.31, 620,346.31 and 223,867.47 is: 335,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,491.31 : 620,346.31 = 223,867.47 : x
  2. Step 2: Convert to fraction form
    413,491.31/620,346.31 = 223,867.47/x
  3. Step 3: Cross multiply
    413,491.31x = 620,346.31 × 223,867.47
  4. Step 4: Simplify right side
    413,491.31x = 138,875,358,383.87
  5. Step 5: Solve for x
    x = 138,875,358,383.87/413,491.31
  6. Step 6: Final answer
    x = 335,860.41

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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.