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Finding the Fourth Proportional to 298,563.84, 412,009.84 and 162,594.88

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Solution

The fourth proportional to 298,563.84, 412,009.84 and 162,594.88 is: 224,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,563.84 : 412,009.84 = 162,594.88 : x
  2. Step 2: Convert to fraction form
    298,563.84/412,009.84 = 162,594.88/x
  3. Step 3: Cross multiply
    298,563.84x = 412,009.84 × 162,594.88
  4. Step 4: Simplify right side
    298,563.84x = 66,990,690,493.62
  5. Step 5: Solve for x
    x = 66,990,690,493.62/298,563.84
  6. Step 6: Final answer
    x = 224,376.44

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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.