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Finding the Fourth Proportional to 600,885.50, 829,222 and 332,613.50

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Solution

The fourth proportional to 600,885.50, 829,222 and 332,613.50 is: 459,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,885.50 : 829,222 = 332,613.50 : x
  2. Step 2: Convert to fraction form
    600,885.50/829,222 = 332,613.50/x
  3. Step 3: Cross multiply
    600,885.50x = 829,222 × 332,613.50
  4. Step 4: Simplify right side
    600,885.50x = 275,810,431,697
  5. Step 5: Solve for x
    x = 275,810,431,697/600,885.50
  6. Step 6: Final answer
    x = 459,006.64

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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.