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Finding the Fourth Proportional to 348,563.60, 523,363.80 and 269,766.80

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Solution

The fourth proportional to 348,563.60, 523,363.80 and 269,766.80 is: 405,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,563.60 : 523,363.80 = 269,766.80 : x
  2. Step 2: Convert to fraction form
    348,563.60/523,363.80 = 269,766.80/x
  3. Step 3: Cross multiply
    348,563.60x = 523,363.80 × 269,766.80
  4. Step 4: Simplify right side
    348,563.60x = 141,186,177,561.84
  5. Step 5: Solve for x
    x = 141,186,177,561.84/348,563.60
  6. Step 6: Final answer
    x = 405,051.41

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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.