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Finding the Fourth Proportional to 465,134.20, 699,083.70 and 404,308.60

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Solution

The fourth proportional to 465,134.20, 699,083.70 and 404,308.60 is: 607,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,134.20 : 699,083.70 = 404,308.60 : x
  2. Step 2: Convert to fraction form
    465,134.20/699,083.70 = 404,308.60/x
  3. Step 3: Cross multiply
    465,134.20x = 699,083.70 × 404,308.60
  4. Step 4: Simplify right side
    465,134.20x = 282,645,552,029.82
  5. Step 5: Solve for x
    x = 282,645,552,029.82/465,134.20
  6. Step 6: Final answer
    x = 607,664.52

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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.