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Finding the Fourth Proportional to 600,750, 829,037.43 and 332,478

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Solution

The fourth proportional to 600,750, 829,037.43 and 332,478 is: 458,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,750 : 829,037.43 = 332,478 : x
  2. Step 2: Convert to fraction form
    600,750/829,037.43 = 332,478/x
  3. Step 3: Cross multiply
    600,750x = 829,037.43 × 332,478
  4. Step 4: Simplify right side
    600,750x = 275,636,706,651.54
  5. Step 5: Solve for x
    x = 275,636,706,651.54/600,750
  6. Step 6: Final answer
    x = 458,820.98

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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.