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Finding the Fourth Proportional to 465,986.62, 697,858.85 and 265,699.81

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Solution

The fourth proportional to 465,986.62, 697,858.85 and 265,699.81 is: 397,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,986.62 : 697,858.85 = 265,699.81 : x
  2. Step 2: Convert to fraction form
    465,986.62/697,858.85 = 265,699.81/x
  3. Step 3: Cross multiply
    465,986.62x = 697,858.85 × 265,699.81
  4. Step 4: Simplify right side
    465,986.62x = 185,420,962,771.42
  5. Step 5: Solve for x
    x = 185,420,962,771.42/465,986.62
  6. Step 6: Final answer
    x = 397,910.49

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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.