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Finding the Fourth Proportional to 704,234.64, 971,841 and 381,943.44

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Solution

The fourth proportional to 704,234.64, 971,841 and 381,943.44 is: 527,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,234.64 : 971,841 = 381,943.44 : x
  2. Step 2: Convert to fraction form
    704,234.64/971,841 = 381,943.44/x
  3. Step 3: Cross multiply
    704,234.64x = 971,841 × 381,943.44
  4. Step 4: Simplify right side
    704,234.64x = 371,188,294,673.04
  5. Step 5: Solve for x
    x = 371,188,294,673.04/704,234.64
  6. Step 6: Final answer
    x = 527,080.43

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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.