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Finding the Fourth Proportional to 393,640.40, 590,537.40 and 169,000.40

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Solution

The fourth proportional to 393,640.40, 590,537.40 and 169,000.40 is: 253,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,640.40 : 590,537.40 = 169,000.40 : x
  2. Step 2: Convert to fraction form
    393,640.40/590,537.40 = 169,000.40/x
  3. Step 3: Cross multiply
    393,640.40x = 590,537.40 × 169,000.40
  4. Step 4: Simplify right side
    393,640.40x = 99,801,056,814.96
  5. Step 5: Solve for x
    x = 99,801,056,814.96/393,640.40
  6. Step 6: Final answer
    x = 253,533.57

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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.