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Finding the Fourth Proportional to 466,206.76, 699,506.82 and 297,916.84

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Solution

The fourth proportional to 466,206.76, 699,506.82 and 297,916.84 is: 447,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,206.76 : 699,506.82 = 297,916.84 : x
  2. Step 2: Convert to fraction form
    466,206.76/699,506.82 = 297,916.84/x
  3. Step 3: Cross multiply
    466,206.76x = 699,506.82 × 297,916.84
  4. Step 4: Simplify right side
    466,206.76x = 208,394,861,372.85
  5. Step 5: Solve for x
    x = 208,394,861,372.85/466,206.76
  6. Step 6: Final answer
    x = 447,000.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.