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Finding the Fourth Proportional to 546,734.53, 754,559.31 and 320,380.03

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Solution

The fourth proportional to 546,734.53, 754,559.31 and 320,380.03 is: 442,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,734.53 : 754,559.31 = 320,380.03 : x
  2. Step 2: Convert to fraction form
    546,734.53/754,559.31 = 320,380.03/x
  3. Step 3: Cross multiply
    546,734.53x = 754,559.31 × 320,380.03
  4. Step 4: Simplify right side
    546,734.53x = 241,745,734,374.58
  5. Step 5: Solve for x
    x = 241,745,734,374.58/546,734.53
  6. Step 6: Final answer
    x = 442,162.92

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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.