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Finding the Fourth Proportional to 884,682, 1,327,023 and 293,706

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Solution

The fourth proportional to 884,682, 1,327,023 and 293,706 is: 440,559

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,682 : 1,327,023 = 293,706 : x
  2. Step 2: Convert to fraction form
    884,682/1,327,023 = 293,706/x
  3. Step 3: Cross multiply
    884,682x = 1,327,023 × 293,706
  4. Step 4: Simplify right side
    884,682x = 389,754,617,238
  5. Step 5: Solve for x
    x = 389,754,617,238/884,682
  6. Step 6: Final answer
    x = 440,559

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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.