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Finding the Fourth Proportional to 445,889.80, 668,834.70 and 411,772.60

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Solution

The fourth proportional to 445,889.80, 668,834.70 and 411,772.60 is: 617,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,889.80 : 668,834.70 = 411,772.60 : x
  2. Step 2: Convert to fraction form
    445,889.80/668,834.70 = 411,772.60/x
  3. Step 3: Cross multiply
    445,889.80x = 668,834.70 × 411,772.60
  4. Step 4: Simplify right side
    445,889.80x = 275,407,803,389.22
  5. Step 5: Solve for x
    x = 275,407,803,389.22/445,889.80
  6. Step 6: Final answer
    x = 617,658.90

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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.