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Finding the Fourth Proportional to 665,048.40, 996,989.40 and 398,914.80

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Solution

The fourth proportional to 665,048.40, 996,989.40 and 398,914.80 is: 598,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,048.40 : 996,989.40 = 398,914.80 : x
  2. Step 2: Convert to fraction form
    665,048.40/996,989.40 = 398,914.80/x
  3. Step 3: Cross multiply
    665,048.40x = 996,989.40 × 398,914.80
  4. Step 4: Simplify right side
    665,048.40x = 397,713,827,103.12
  5. Step 5: Solve for x
    x = 397,713,827,103.12/665,048.40
  6. Step 6: Final answer
    x = 598,022.38

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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.