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Finding the Fourth Proportional to 536,411.40, 804,105.10 and 199,361.80

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Solution

The fourth proportional to 536,411.40, 804,105.10 and 199,361.80 is: 298,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,411.40 : 804,105.10 = 199,361.80 : x
  2. Step 2: Convert to fraction form
    536,411.40/804,105.10 = 199,361.80/x
  3. Step 3: Cross multiply
    536,411.40x = 804,105.10 × 199,361.80
  4. Step 4: Simplify right side
    536,411.40x = 160,307,840,125.18
  5. Step 5: Solve for x
    x = 160,307,840,125.18/536,411.40
  6. Step 6: Final answer
    x = 298,852.41

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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.