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Finding the Fourth Proportional to 413,586.44, 570,723 and 232,293.68

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Solution

The fourth proportional to 413,586.44, 570,723 and 232,293.68 is: 320,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,586.44 : 570,723 = 232,293.68 : x
  2. Step 2: Convert to fraction form
    413,586.44/570,723 = 232,293.68/x
  3. Step 3: Cross multiply
    413,586.44x = 570,723 × 232,293.68
  4. Step 4: Simplify right side
    413,586.44x = 132,575,345,930.64
  5. Step 5: Solve for x
    x = 132,575,345,930.64/413,586.44
  6. Step 6: Final answer
    x = 320,550.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.