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Finding the Fourth Proportional to 382,038, 573,057 and 119,382

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Solution

The fourth proportional to 382,038, 573,057 and 119,382 is: 179,073

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,038 : 573,057 = 119,382 : x
  2. Step 2: Convert to fraction form
    382,038/573,057 = 119,382/x
  3. Step 3: Cross multiply
    382,038x = 573,057 × 119,382
  4. Step 4: Simplify right side
    382,038x = 68,412,690,774
  5. Step 5: Solve for x
    x = 68,412,690,774/382,038
  6. Step 6: Final answer
    x = 179,073

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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.