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Finding the Fourth Proportional to 499,652.82, 749,764.91 and 211,441.76

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Solution

The fourth proportional to 499,652.82, 749,764.91 and 211,441.76 is: 317,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,652.82 : 749,764.91 = 211,441.76 : x
  2. Step 2: Convert to fraction form
    499,652.82/749,764.91 = 211,441.76/x
  3. Step 3: Cross multiply
    499,652.82x = 749,764.91 × 211,441.76
  4. Step 4: Simplify right side
    499,652.82x = 158,531,612,156.64
  5. Step 5: Solve for x
    x = 158,531,612,156.64/499,652.82
  6. Step 6: Final answer
    x = 317,283.53

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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.