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Finding the Fourth Proportional to 566,599.50, 782,609.46 and 411,302.94

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Solution

The fourth proportional to 566,599.50, 782,609.46 and 411,302.94 is: 568,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,599.50 : 782,609.46 = 411,302.94 : x
  2. Step 2: Convert to fraction form
    566,599.50/782,609.46 = 411,302.94/x
  3. Step 3: Cross multiply
    566,599.50x = 782,609.46 × 411,302.94
  4. Step 4: Simplify right side
    566,599.50x = 321,889,571,769.81
  5. Step 5: Solve for x
    x = 321,889,571,769.81/566,599.50
  6. Step 6: Final answer
    x = 568,107.76

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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.