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Finding the Fourth Proportional to 382,968, 574,452 and 172,359.84

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Solution

The fourth proportional to 382,968, 574,452 and 172,359.84 is: 258,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,968 : 574,452 = 172,359.84 : x
  2. Step 2: Convert to fraction form
    382,968/574,452 = 172,359.84/x
  3. Step 3: Cross multiply
    382,968x = 574,452 × 172,359.84
  4. Step 4: Simplify right side
    382,968x = 99,012,454,807.68
  5. Step 5: Solve for x
    x = 99,012,454,807.68/382,968
  6. Step 6: Final answer
    x = 258,539.76

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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.