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Finding the Fourth Proportional to 382,825.88, 574,195.04 and 102,365

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Solution

The fourth proportional to 382,825.88, 574,195.04 and 102,365 is: 153,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,825.88 : 574,195.04 = 102,365 : x
  2. Step 2: Convert to fraction form
    382,825.88/574,195.04 = 102,365/x
  3. Step 3: Cross multiply
    382,825.88x = 574,195.04 × 102,365
  4. Step 4: Simplify right side
    382,825.88x = 58,777,475,269.60
  5. Step 5: Solve for x
    x = 58,777,475,269.60/382,825.88
  6. Step 6: Final answer
    x = 153,535.79

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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.