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Finding the Fourth Proportional to 382,808.25, 574,168.64 and 102,347.37

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Solution

The fourth proportional to 382,808.25, 574,168.64 and 102,347.37 is: 153,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,808.25 : 574,168.64 = 102,347.37 : x
  2. Step 2: Convert to fraction form
    382,808.25/574,168.64 = 102,347.37/x
  3. Step 3: Cross multiply
    382,808.25x = 574,168.64 × 102,347.37
  4. Step 4: Simplify right side
    382,808.25x = 58,764,652,265.68
  5. Step 5: Solve for x
    x = 58,764,652,265.68/382,808.25
  6. Step 6: Final answer
    x = 153,509.37

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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.