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Finding the Fourth Proportional to 499,705.56, 749,509.74 and 274,992.12

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Solution

The fourth proportional to 499,705.56, 749,509.74 and 274,992.12 is: 412,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,705.56 : 749,509.74 = 274,992.12 : x
  2. Step 2: Convert to fraction form
    499,705.56/749,509.74 = 274,992.12/x
  3. Step 3: Cross multiply
    499,705.56x = 749,509.74 × 274,992.12
  4. Step 4: Simplify right side
    499,705.56x = 206,109,272,363.25
  5. Step 5: Solve for x
    x = 206,109,272,363.25/499,705.56
  6. Step 6: Final answer
    x = 412,461.44

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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.