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Finding the Fourth Proportional to 546,536.64, 754,286.37 and 320,182.14

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Solution

The fourth proportional to 546,536.64, 754,286.37 and 320,182.14 is: 441,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,536.64 : 754,286.37 = 320,182.14 : x
  2. Step 2: Convert to fraction form
    546,536.64/754,286.37 = 320,182.14/x
  3. Step 3: Cross multiply
    546,536.64x = 754,286.37 × 320,182.14
  4. Step 4: Simplify right side
    546,536.64x = 241,509,024,119.43
  5. Step 5: Solve for x
    x = 241,509,024,119.43/546,536.64
  6. Step 6: Final answer
    x = 441,889.91

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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.