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Finding the Fourth Proportional to 298,808.87, 412,356.24 and 164,672.87

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Solution

The fourth proportional to 298,808.87, 412,356.24 and 164,672.87 is: 227,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,808.87 : 412,356.24 = 164,672.87 : x
  2. Step 2: Convert to fraction form
    298,808.87/412,356.24 = 164,672.87/x
  3. Step 3: Cross multiply
    298,808.87x = 412,356.24 × 164,672.87
  4. Step 4: Simplify right side
    298,808.87x = 67,903,883,441.43
  5. Step 5: Solve for x
    x = 67,903,883,441.43/298,808.87
  6. Step 6: Final answer
    x = 227,248.56

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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.