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Finding the Fourth Proportional to 461,816.80, 692,822.40 and 195,440.20

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Solution

The fourth proportional to 461,816.80, 692,822.40 and 195,440.20 is: 293,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,816.80 : 692,822.40 = 195,440.20 : x
  2. Step 2: Convert to fraction form
    461,816.80/692,822.40 = 195,440.20/x
  3. Step 3: Cross multiply
    461,816.80x = 692,822.40 × 195,440.20
  4. Step 4: Simplify right side
    461,816.80x = 135,405,348,420.48
  5. Step 5: Solve for x
    x = 135,405,348,420.48/461,816.80
  6. Step 6: Final answer
    x = 293,201.43

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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.