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Finding the Fourth Proportional to 696,903.80, 961,610.60 and 410,480.96

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Solution

The fourth proportional to 696,903.80, 961,610.60 and 410,480.96 is: 566,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,903.80 : 961,610.60 = 410,480.96 : x
  2. Step 2: Convert to fraction form
    696,903.80/961,610.60 = 410,480.96/x
  3. Step 3: Cross multiply
    696,903.80x = 961,610.60 × 410,480.96
  4. Step 4: Simplify right side
    696,903.80x = 394,722,842,234.18
  5. Step 5: Solve for x
    x = 394,722,842,234.18/696,903.80
  6. Step 6: Final answer
    x = 566,395.02

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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.