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Finding the Fourth Proportional to 650,729.89, 971,665.14 and 574,190.56

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Solution

The fourth proportional to 650,729.89, 971,665.14 and 574,190.56 is: 857,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,729.89 : 971,665.14 = 574,190.56 : x
  2. Step 2: Convert to fraction form
    650,729.89/971,665.14 = 574,190.56/x
  3. Step 3: Cross multiply
    650,729.89x = 971,665.14 × 574,190.56
  4. Step 4: Simplify right side
    650,729.89x = 557,920,950,869.08
  5. Step 5: Solve for x
    x = 557,920,950,869.08/650,729.89
  6. Step 6: Final answer
    x = 857,377.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.