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Finding the Fourth Proportional to 465,986.63, 697,858.85 and 265,699.82

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Solution

The fourth proportional to 465,986.63, 697,858.85 and 265,699.82 is: 397,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,986.63 : 697,858.85 = 265,699.82 : x
  2. Step 2: Convert to fraction form
    465,986.63/697,858.85 = 265,699.82/x
  3. Step 3: Cross multiply
    465,986.63x = 697,858.85 × 265,699.82
  4. Step 4: Simplify right side
    465,986.63x = 185,420,966,012.61
  5. Step 5: Solve for x
    x = 185,420,966,012.61/465,986.63
  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.