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Finding the Fourth Proportional to 704,317.82, 971,951.44 and 382,021

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Solution

The fourth proportional to 704,317.82, 971,951.44 and 382,021 is: 527,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,317.82 : 971,951.44 = 382,021 : x
  2. Step 2: Convert to fraction form
    704,317.82/971,951.44 = 382,021/x
  3. Step 3: Cross multiply
    704,317.82x = 971,951.44 × 382,021
  4. Step 4: Simplify right side
    704,317.82x = 371,305,861,060.24
  5. Step 5: Solve for x
    x = 371,305,861,060.24/704,317.82
  6. Step 6: Final answer
    x = 527,185.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.