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Finding the Fourth Proportional to 465,018.96, 697,351.39 and 275,532.80

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Solution

The fourth proportional to 465,018.96, 697,351.39 and 275,532.80 is: 413,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,018.96 : 697,351.39 = 275,532.80 : x
  2. Step 2: Convert to fraction form
    465,018.96/697,351.39 = 275,532.80/x
  3. Step 3: Cross multiply
    465,018.96x = 697,351.39 × 275,532.80
  4. Step 4: Simplify right side
    465,018.96x = 192,143,182,125.14
  5. Step 5: Solve for x
    x = 192,143,182,125.14/465,018.96
  6. Step 6: Final answer
    x = 413,194.30

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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.