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Finding the Fourth Proportional to 384,805.73, 577,218.45 and 182,354.33

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Solution

The fourth proportional to 384,805.73, 577,218.45 and 182,354.33 is: 273,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,805.73 : 577,218.45 = 182,354.33 : x
  2. Step 2: Convert to fraction form
    384,805.73/577,218.45 = 182,354.33/x
  3. Step 3: Cross multiply
    384,805.73x = 577,218.45 × 182,354.33
  4. Step 4: Simplify right side
    384,805.73x = 105,258,283,713.39
  5. Step 5: Solve for x
    x = 105,258,283,713.39/384,805.73
  6. Step 6: Final answer
    x = 273,536.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.