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Finding the Fourth Proportional to 298,898.40, 412,474.16 and 162,933.60

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Solution

The fourth proportional to 298,898.40, 412,474.16 and 162,933.60 is: 224,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,898.40 : 412,474.16 = 162,933.60 : x
  2. Step 2: Convert to fraction form
    298,898.40/412,474.16 = 162,933.60/x
  3. Step 3: Cross multiply
    298,898.40x = 412,474.16 × 162,933.60
  4. Step 4: Simplify right side
    298,898.40x = 67,205,899,795.78
  5. Step 5: Solve for x
    x = 67,205,899,795.78/298,898.40
  6. Step 6: Final answer
    x = 224,845.30

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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.