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Finding the Fourth Proportional to 546,105.69, 753,629.31 and 304,403.58

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Solution

The fourth proportional to 546,105.69, 753,629.31 and 304,403.58 is: 420,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,105.69 : 753,629.31 = 304,403.58 : x
  2. Step 2: Convert to fraction form
    546,105.69/753,629.31 = 304,403.58/x
  3. Step 3: Cross multiply
    546,105.69x = 753,629.31 × 304,403.58
  4. Step 4: Simplify right side
    546,105.69x = 229,407,459,956.93
  5. Step 5: Solve for x
    x = 229,407,459,956.93/546,105.69
  6. Step 6: Final answer
    x = 420,078.87

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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.