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Finding the Fourth Proportional to 601,188, 829,639.68 and 332,916

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Solution

The fourth proportional to 601,188, 829,639.68 and 332,916 is: 459,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,188 : 829,639.68 = 332,916 : x
  2. Step 2: Convert to fraction form
    601,188/829,639.68 = 332,916/x
  3. Step 3: Cross multiply
    601,188x = 829,639.68 × 332,916
  4. Step 4: Simplify right side
    601,188x = 276,200,323,706.88
  5. Step 5: Solve for x
    x = 276,200,323,706.88/601,188
  6. Step 6: Final answer
    x = 459,424.21

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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.