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Finding the Fourth Proportional to 601,059, 829,487.34 and 332,787

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Solution

The fourth proportional to 601,059, 829,487.34 and 332,787 is: 459,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,059 : 829,487.34 = 332,787 : x
  2. Step 2: Convert to fraction form
    601,059/829,487.34 = 332,787/x
  3. Step 3: Cross multiply
    601,059x = 829,487.34 × 332,787
  4. Step 4: Simplify right side
    601,059x = 276,042,603,416.58
  5. Step 5: Solve for x
    x = 276,042,603,416.58/601,059
  6. Step 6: Final answer
    x = 459,260.41

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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.