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Finding the Fourth Proportional to 388,338.34, 582,573.93 and 177,994.30

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Solution

The fourth proportional to 388,338.34, 582,573.93 and 177,994.30 is: 267,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,338.34 : 582,573.93 = 177,994.30 : x
  2. Step 2: Convert to fraction form
    388,338.34/582,573.93 = 177,994.30/x
  3. Step 3: Cross multiply
    388,338.34x = 582,573.93 × 177,994.30
  4. Step 4: Simplify right side
    388,338.34x = 103,694,838,868.60
  5. Step 5: Solve for x
    x = 103,694,838,868.60/388,338.34
  6. Step 6: Final answer
    x = 267,021.89

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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.