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Finding the Fourth Proportional to 601,144, 829,578.72 and 332,872

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Solution

The fourth proportional to 601,144, 829,578.72 and 332,872 is: 459,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,144 : 829,578.72 = 332,872 : x
  2. Step 2: Convert to fraction form
    601,144/829,578.72 = 332,872/x
  3. Step 3: Cross multiply
    601,144x = 829,578.72 × 332,872
  4. Step 4: Simplify right side
    601,144x = 276,143,527,683.84
  5. Step 5: Solve for x
    x = 276,143,527,683.84/601,144
  6. Step 6: Final answer
    x = 459,363.36

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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.