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Finding the Fourth Proportional to 654,073.92, 902,252.70 and 411,940.44

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Solution

The fourth proportional to 654,073.92, 902,252.70 and 411,940.44 is: 568,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,073.92 : 902,252.70 = 411,940.44 : x
  2. Step 2: Convert to fraction form
    654,073.92/902,252.70 = 411,940.44/x
  3. Step 3: Cross multiply
    654,073.92x = 902,252.70 × 411,940.44
  4. Step 4: Simplify right side
    654,073.92x = 371,674,374,229.19
  5. Step 5: Solve for x
    x = 371,674,374,229.19/654,073.92
  6. Step 6: Final answer
    x = 568,245.21

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1.5x scale

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.