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Finding the Fourth Proportional to 400,821.40, 601,232.10 and 164,333.80

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Solution

The fourth proportional to 400,821.40, 601,232.10 and 164,333.80 is: 246,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,821.40 : 601,232.10 = 164,333.80 : x
  2. Step 2: Convert to fraction form
    400,821.40/601,232.10 = 164,333.80/x
  3. Step 3: Cross multiply
    400,821.40x = 601,232.10 × 164,333.80
  4. Step 4: Simplify right side
    400,821.40x = 98,802,755,674.98
  5. Step 5: Solve for x
    x = 98,802,755,674.98/400,821.40
  6. Step 6: Final answer
    x = 246,500.70

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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.