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Finding the Fourth Proportional to 546,720.22, 754,474.24 and 305,002.80

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Solution

The fourth proportional to 546,720.22, 754,474.24 and 305,002.80 is: 420,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,720.22 : 754,474.24 = 305,002.80 : x
  2. Step 2: Convert to fraction form
    546,720.22/754,474.24 = 305,002.80/x
  3. Step 3: Cross multiply
    546,720.22x = 754,474.24 × 305,002.80
  4. Step 4: Simplify right side
    546,720.22x = 230,116,755,727.87
  5. Step 5: Solve for x
    x = 230,116,755,727.87/546,720.22
  6. Step 6: Final answer
    x = 420,904.05

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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.