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Finding the Fourth Proportional to 546,751.29, 754,517.25 and 305,033.91

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Solution

The fourth proportional to 546,751.29, 754,517.25 and 305,033.91 is: 420,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,751.29 : 754,517.25 = 305,033.91 : x
  2. Step 2: Convert to fraction form
    546,751.29/754,517.25 = 305,033.91/x
  3. Step 3: Cross multiply
    546,751.29x = 754,517.25 × 305,033.91
  4. Step 4: Simplify right side
    546,751.29x = 230,153,346,929.95
  5. Step 5: Solve for x
    x = 230,153,346,929.95/546,751.29
  6. Step 6: Final answer
    x = 420,947.06

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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.