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Finding the Fourth Proportional to 791,713, 1,092,563.94 and 434,017

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Solution

The fourth proportional to 791,713, 1,092,563.94 and 434,017 is: 598,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,713 : 1,092,563.94 = 434,017 : x
  2. Step 2: Convert to fraction form
    791,713/1,092,563.94 = 434,017/x
  3. Step 3: Cross multiply
    791,713x = 1,092,563.94 × 434,017
  4. Step 4: Simplify right side
    791,713x = 474,191,323,546.98
  5. Step 5: Solve for x
    x = 474,191,323,546.98/791,713
  6. Step 6: Final answer
    x = 598,943.46

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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.