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Finding the Fourth Proportional to 590,290.96, 814,538.72 and 332,163.41

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Solution

The fourth proportional to 590,290.96, 814,538.72 and 332,163.41 is: 458,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,290.96 : 814,538.72 = 332,163.41 : x
  2. Step 2: Convert to fraction form
    590,290.96/814,538.72 = 332,163.41/x
  3. Step 3: Cross multiply
    590,290.96x = 814,538.72 × 332,163.41
  4. Step 4: Simplify right side
    590,290.96x = 270,559,955,166.67
  5. Step 5: Solve for x
    x = 270,559,955,166.67/590,290.96
  6. Step 6: Final answer
    x = 458,350.16

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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.