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Finding the Fourth Proportional to 499,311.94, 748,999.43 and 211,069.82

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Solution

The fourth proportional to 499,311.94, 748,999.43 and 211,069.82 is: 316,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,311.94 : 748,999.43 = 211,069.82 : x
  2. Step 2: Convert to fraction form
    499,311.94/748,999.43 = 211,069.82/x
  3. Step 3: Cross multiply
    499,311.94x = 748,999.43 × 211,069.82
  4. Step 4: Simplify right side
    499,311.94x = 158,091,173,814.85
  5. Step 5: Solve for x
    x = 158,091,173,814.85/499,311.94
  6. Step 6: Final answer
    x = 316,618.06

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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.