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Finding the Fourth Proportional to 273,008.20, 409,512.30 and 243,977.80

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Solution

The fourth proportional to 273,008.20, 409,512.30 and 243,977.80 is: 365,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,008.20 : 409,512.30 = 243,977.80 : x
  2. Step 2: Convert to fraction form
    273,008.20/409,512.30 = 243,977.80/x
  3. Step 3: Cross multiply
    273,008.20x = 409,512.30 × 243,977.80
  4. Step 4: Simplify right side
    273,008.20x = 99,911,910,026.94
  5. Step 5: Solve for x
    x = 99,911,910,026.94/273,008.20
  6. Step 6: Final answer
    x = 365,966.70

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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.