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Finding the Fourth Proportional to 704,313.82, 971,945.92 and 382,017

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Solution

The fourth proportional to 704,313.82, 971,945.92 and 382,017 is: 527,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,313.82 : 971,945.92 = 382,017 : x
  2. Step 2: Convert to fraction form
    704,313.82/971,945.92 = 382,017/x
  3. Step 3: Cross multiply
    704,313.82x = 971,945.92 × 382,017
  4. Step 4: Simplify right side
    704,313.82x = 371,299,864,520.64
  5. Step 5: Solve for x
    x = 371,299,864,520.64/704,313.82
  6. Step 6: Final answer
    x = 527,179.58

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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.