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Finding the Fourth Proportional to 585,119.26, 877,709.31 and 185,791.33

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Solution

The fourth proportional to 585,119.26, 877,709.31 and 185,791.33 is: 278,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,119.26 : 877,709.31 = 185,791.33 : x
  2. Step 2: Convert to fraction form
    585,119.26/877,709.31 = 185,791.33/x
  3. Step 3: Cross multiply
    585,119.26x = 877,709.31 × 185,791.33
  4. Step 4: Simplify right side
    585,119.26x = 163,070,780,058.28
  5. Step 5: Solve for x
    x = 163,070,780,058.28/585,119.26
  6. Step 6: Final answer
    x = 278,696.65

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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.