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Finding the Fourth Proportional to 587,053.78, 810,137.40 and 332,454.58

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Solution

The fourth proportional to 587,053.78, 810,137.40 and 332,454.58 is: 458,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,053.78 : 810,137.40 = 332,454.58 : x
  2. Step 2: Convert to fraction form
    587,053.78/810,137.40 = 332,454.58/x
  3. Step 3: Cross multiply
    587,053.78x = 810,137.40 × 332,454.58
  4. Step 4: Simplify right side
    587,053.78x = 269,333,889,059.29
  5. Step 5: Solve for x
    x = 269,333,889,059.29/587,053.78
  6. Step 6: Final answer
    x = 458,789.12

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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.