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Finding the Fourth Proportional to 665,102.40, 997,070.40 and 398,968.80

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Solution

The fourth proportional to 665,102.40, 997,070.40 and 398,968.80 is: 598,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,102.40 : 997,070.40 = 398,968.80 : x
  2. Step 2: Convert to fraction form
    665,102.40/997,070.40 = 398,968.80/x
  3. Step 3: Cross multiply
    665,102.40x = 997,070.40 × 398,968.80
  4. Step 4: Simplify right side
    665,102.40x = 397,799,981,003.52
  5. Step 5: Solve for x
    x = 397,799,981,003.52/665,102.40
  6. Step 6: Final answer
    x = 598,103.36

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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.