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Finding the Fourth Proportional to 633,384.25, 947,692.71 and 444,213.87

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Solution

The fourth proportional to 633,384.25, 947,692.71 and 444,213.87 is: 664,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,384.25 : 947,692.71 = 444,213.87 : x
  2. Step 2: Convert to fraction form
    633,384.25/947,692.71 = 444,213.87/x
  3. Step 3: Cross multiply
    633,384.25x = 947,692.71 × 444,213.87
  4. Step 4: Simplify right side
    633,384.25x = 420,978,248,056.81
  5. Step 5: Solve for x
    x = 420,978,248,056.81/633,384.25
  6. Step 6: Final answer
    x = 664,649.07

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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.