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Finding the Fourth Proportional to 587,055.78, 810,140.16 and 332,456.58

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Solution

The fourth proportional to 587,055.78, 810,140.16 and 332,456.58 is: 458,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,055.78 : 810,140.16 = 332,456.58 : x
  2. Step 2: Convert to fraction form
    587,055.78/810,140.16 = 332,456.58/x
  3. Step 3: Cross multiply
    587,055.78x = 810,140.16 × 332,456.58
  4. Step 4: Simplify right side
    587,055.78x = 269,336,426,914.25
  5. Step 5: Solve for x
    x = 269,336,426,914.25/587,055.78
  6. Step 6: Final answer
    x = 458,791.88

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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.