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Finding the Fourth Proportional to 546,751.11, 754,517.01 and 305,033.74

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Solution

The fourth proportional to 546,751.11, 754,517.01 and 305,033.74 is: 420,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,751.11 : 754,517.01 = 305,033.74 : x
  2. Step 2: Convert to fraction form
    546,751.11/754,517.01 = 305,033.74/x
  3. Step 3: Cross multiply
    546,751.11x = 754,517.01 × 305,033.74
  4. Step 4: Simplify right side
    546,751.11x = 230,153,142,995.69
  5. Step 5: Solve for x
    x = 230,153,142,995.69/546,751.11
  6. Step 6: Final answer
    x = 420,946.82

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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.