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Finding the Fourth Proportional to 644,533.60, 965,648.40 and 311,375.20

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Solution

The fourth proportional to 644,533.60, 965,648.40 and 311,375.20 is: 466,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,533.60 : 965,648.40 = 311,375.20 : x
  2. Step 2: Convert to fraction form
    644,533.60/965,648.40 = 311,375.20/x
  3. Step 3: Cross multiply
    644,533.60x = 965,648.40 × 311,375.20
  4. Step 4: Simplify right side
    644,533.60x = 300,678,963,679.68
  5. Step 5: Solve for x
    x = 300,678,963,679.68/644,533.60
  6. Step 6: Final answer
    x = 466,506.27

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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.