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Finding the Fourth Proportional to 516,258.60, 774,213.24 and 196,334.46

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Solution

The fourth proportional to 516,258.60, 774,213.24 and 196,334.46 is: 294,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,258.60 : 774,213.24 = 196,334.46 : x
  2. Step 2: Convert to fraction form
    516,258.60/774,213.24 = 196,334.46/x
  3. Step 3: Cross multiply
    516,258.60x = 774,213.24 × 196,334.46
  4. Step 4: Simplify right side
    516,258.60x = 152,004,738,400.25
  5. Step 5: Solve for x
    x = 152,004,738,400.25/516,258.60
  6. Step 6: Final answer
    x = 294,435.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.