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Finding the Fourth Proportional to 298,813.39, 412,362.47 and 162,847.33

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Solution

The fourth proportional to 298,813.39, 412,362.47 and 162,847.33 is: 224,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,813.39 : 412,362.47 = 162,847.33 : x
  2. Step 2: Convert to fraction form
    298,813.39/412,362.47 = 162,847.33/x
  3. Step 3: Cross multiply
    298,813.39x = 412,362.47 × 162,847.33
  4. Step 4: Simplify right side
    298,813.39x = 67,152,126,607.92
  5. Step 5: Solve for x
    x = 67,152,126,607.92/298,813.39
  6. Step 6: Final answer
    x = 224,729.31

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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.