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Finding the Fourth Proportional to 590,976, 815,546.88 and 322,704

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Solution

The fourth proportional to 590,976, 815,546.88 and 322,704 is: 445,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,976 : 815,546.88 = 322,704 : x
  2. Step 2: Convert to fraction form
    590,976/815,546.88 = 322,704/x
  3. Step 3: Cross multiply
    590,976x = 815,546.88 × 322,704
  4. Step 4: Simplify right side
    590,976x = 263,180,240,363.52
  5. Step 5: Solve for x
    x = 263,180,240,363.52/590,976
  6. Step 6: Final answer
    x = 445,331.52

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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.