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Finding the Fourth Proportional to 543,376.80, 814,409.10 and 277,000.20

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Solution

The fourth proportional to 543,376.80, 814,409.10 and 277,000.20 is: 415,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,376.80 : 814,409.10 = 277,000.20 : x
  2. Step 2: Convert to fraction form
    543,376.80/814,409.10 = 277,000.20/x
  3. Step 3: Cross multiply
    543,376.80x = 814,409.10 × 277,000.20
  4. Step 4: Simplify right side
    543,376.80x = 225,591,483,581.82
  5. Step 5: Solve for x
    x = 225,591,483,581.82/543,376.80
  6. Step 6: Final answer
    x = 415,165.84

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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.