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Finding the Fourth Proportional to 298,964.85, 412,571.37 and 162,998.91

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Solution

The fourth proportional to 298,964.85, 412,571.37 and 162,998.91 is: 224,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964.85 : 412,571.37 = 162,998.91 : x
  2. Step 2: Convert to fraction form
    298,964.85/412,571.37 = 162,998.91/x
  3. Step 3: Cross multiply
    298,964.85x = 412,571.37 × 162,998.91
  4. Step 4: Simplify right side
    298,964.85x = 67,248,683,607.21
  5. Step 5: Solve for x
    x = 67,248,683,607.21/298,964.85
  6. Step 6: Final answer
    x = 224,938.43

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1.5x scale

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.