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Finding the Fourth Proportional to 273,628.10, 409,664.55 and 242,524.10

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Solution

The fourth proportional to 273,628.10, 409,664.55 and 242,524.10 is: 363,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,628.10 : 409,664.55 = 242,524.10 : x
  2. Step 2: Convert to fraction form
    273,628.10/409,664.55 = 242,524.10/x
  3. Step 3: Cross multiply
    273,628.10x = 409,664.55 × 242,524.10
  4. Step 4: Simplify right side
    273,628.10x = 99,353,526,290.66
  5. Step 5: Solve for x
    x = 99,353,526,290.66/273,628.10
  6. Step 6: Final answer
    x = 363,096.94

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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.