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Finding the Fourth Proportional to 400,844.92, 552,900.16 and 257,785.96

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Solution

The fourth proportional to 400,844.92, 552,900.16 and 257,785.96 is: 355,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,844.92 : 552,900.16 = 257,785.96 : x
  2. Step 2: Convert to fraction form
    400,844.92/552,900.16 = 257,785.96/x
  3. Step 3: Cross multiply
    400,844.92x = 552,900.16 × 257,785.96
  4. Step 4: Simplify right side
    400,844.92x = 142,529,898,529.75
  5. Step 5: Solve for x
    x = 142,529,898,529.75/400,844.92
  6. Step 6: Final answer
    x = 355,573.67

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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.