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Finding the Fourth Proportional to 546,866.52, 754,674.41 and 305,146.53

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Solution

The fourth proportional to 546,866.52, 754,674.41 and 305,146.53 is: 421,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,866.52 : 754,674.41 = 305,146.53 : x
  2. Step 2: Convert to fraction form
    546,866.52/754,674.41 = 305,146.53/x
  3. Step 3: Cross multiply
    546,866.52x = 754,674.41 × 305,146.53
  4. Step 4: Simplify right side
    546,866.52x = 230,286,275,965.57
  5. Step 5: Solve for x
    x = 230,286,275,965.57/546,866.52
  6. Step 6: Final answer
    x = 421,101.43

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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.