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Finding the Fourth Proportional to 697,578.28, 962,900.87 and 411,080.06

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Solution

The fourth proportional to 697,578.28, 962,900.87 and 411,080.06 is: 567,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,578.28 : 962,900.87 = 411,080.06 : x
  2. Step 2: Convert to fraction form
    697,578.28/962,900.87 = 411,080.06/x
  3. Step 3: Cross multiply
    697,578.28x = 962,900.87 × 411,080.06
  4. Step 4: Simplify right side
    697,578.28x = 395,829,347,765.50
  5. Step 5: Solve for x
    x = 395,829,347,765.50/697,578.28
  6. Step 6: Final answer
    x = 567,433.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.