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Finding the Fourth Proportional to 382,948.12, 573,566.82 and 277,525

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Solution

The fourth proportional to 382,948.12, 573,566.82 and 277,525 is: 415,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,948.12 : 573,566.82 = 277,525 : x
  2. Step 2: Convert to fraction form
    382,948.12/573,566.82 = 277,525/x
  3. Step 3: Cross multiply
    382,948.12x = 573,566.82 × 277,525
  4. Step 4: Simplify right side
    382,948.12x = 159,179,131,720.50
  5. Step 5: Solve for x
    x = 159,179,131,720.50/382,948.12
  6. Step 6: Final answer
    x = 415,667.62

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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.