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Finding the Fourth Proportional to 546,593.76, 754,297.38 and 304,876.12

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Solution

The fourth proportional to 546,593.76, 754,297.38 and 304,876.12 is: 420,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,593.76 : 754,297.38 = 304,876.12 : x
  2. Step 2: Convert to fraction form
    546,593.76/754,297.38 = 304,876.12/x
  3. Step 3: Cross multiply
    546,593.76x = 754,297.38 × 304,876.12
  4. Step 4: Simplify right side
    546,593.76x = 229,967,258,540.57
  5. Step 5: Solve for x
    x = 229,967,258,540.57/546,593.76
  6. Step 6: Final answer
    x = 420,727.93

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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.