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Finding the Fourth Proportional to 601,208, 829,693.12 and 332,936

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Solution

The fourth proportional to 601,208, 829,693.12 and 332,936 is: 459,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,208 : 829,693.12 = 332,936 : x
  2. Step 2: Convert to fraction form
    601,208/829,693.12 = 332,936/x
  3. Step 3: Cross multiply
    601,208x = 829,693.12 × 332,936
  4. Step 4: Simplify right side
    601,208x = 276,234,708,600.32
  5. Step 5: Solve for x
    x = 276,234,708,600.32/601,208
  6. Step 6: Final answer
    x = 459,466.12

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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.