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Finding the Fourth Proportional to 546,664.80, 754,094.16 and 320,266.56

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Solution

The fourth proportional to 546,664.80, 754,094.16 and 320,266.56 is: 441,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,664.80 : 754,094.16 = 320,266.56 : x
  2. Step 2: Convert to fraction form
    546,664.80/754,094.16 = 320,266.56/x
  3. Step 3: Cross multiply
    546,664.80x = 754,094.16 × 320,266.56
  4. Step 4: Simplify right side
    546,664.80x = 241,511,142,539.29
  5. Step 5: Solve for x
    x = 241,511,142,539.29/546,664.80
  6. Step 6: Final answer
    x = 441,790.18

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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.