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Finding the Fourth Proportional to 382,753, 574,250.46 and 172,409.32

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Solution

The fourth proportional to 382,753, 574,250.46 and 172,409.32 is: 258,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,753 : 574,250.46 = 172,409.32 : x
  2. Step 2: Convert to fraction form
    382,753/574,250.46 = 172,409.32/x
  3. Step 3: Cross multiply
    382,753x = 574,250.46 × 172,409.32
  4. Step 4: Simplify right side
    382,753x = 99,006,131,318.29
  5. Step 5: Solve for x
    x = 99,006,131,318.29/382,753
  6. Step 6: Final answer
    x = 258,668.47

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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.