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Finding the Fourth Proportional to 467,299.21, 644,552.70 and 286,100.64

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Solution

The fourth proportional to 467,299.21, 644,552.70 and 286,100.64 is: 394,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,299.21 : 644,552.70 = 286,100.64 : x
  2. Step 2: Convert to fraction form
    467,299.21/644,552.70 = 286,100.64/x
  3. Step 3: Cross multiply
    467,299.21x = 644,552.70 × 286,100.64
  4. Step 4: Simplify right side
    467,299.21x = 184,406,939,983.73
  5. Step 5: Solve for x
    x = 184,406,939,983.73/467,299.21
  6. Step 6: Final answer
    x = 394,622.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.