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Finding the Fourth Proportional to 465,099.80, 697,649.70 and 165,918.20

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Solution

The fourth proportional to 465,099.80, 697,649.70 and 165,918.20 is: 248,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,099.80 : 697,649.70 = 165,918.20 : x
  2. Step 2: Convert to fraction form
    465,099.80/697,649.70 = 165,918.20/x
  3. Step 3: Cross multiply
    465,099.80x = 697,649.70 × 165,918.20
  4. Step 4: Simplify right side
    465,099.80x = 115,752,782,454.54
  5. Step 5: Solve for x
    x = 115,752,782,454.54/465,099.80
  6. Step 6: Final answer
    x = 248,877.30

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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.