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Finding the Fourth Proportional to 697,548.52, 962,648.58 and 411,080.68

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Solution

The fourth proportional to 697,548.52, 962,648.58 and 411,080.68 is: 567,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,548.52 : 962,648.58 = 411,080.68 : x
  2. Step 2: Convert to fraction form
    697,548.52/962,648.58 = 411,080.68/x
  3. Step 3: Cross multiply
    697,548.52x = 962,648.58 × 411,080.68
  4. Step 4: Simplify right side
    697,548.52x = 395,726,232,867.43
  5. Step 5: Solve for x
    x = 395,726,232,867.43/697,548.52
  6. Step 6: Final answer
    x = 567,309.97

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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.