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Finding the Fourth Proportional to 600,813, 829,134.90 and 332,541

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Solution

The fourth proportional to 600,813, 829,134.90 and 332,541 is: 458,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,813 : 829,134.90 = 332,541 : x
  2. Step 2: Convert to fraction form
    600,813/829,134.90 = 332,541/x
  3. Step 3: Cross multiply
    600,813x = 829,134.90 × 332,541
  4. Step 4: Simplify right side
    600,813x = 275,721,348,780.90
  5. Step 5: Solve for x
    x = 275,721,348,780.90/600,813
  6. Step 6: Final answer
    x = 458,913.75

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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.