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Finding the Fourth Proportional to 354,628.96, 531,483.84 and 144,022.24

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Solution

The fourth proportional to 354,628.96, 531,483.84 and 144,022.24 is: 215,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,628.96 : 531,483.84 = 144,022.24 : x
  2. Step 2: Convert to fraction form
    354,628.96/531,483.84 = 144,022.24/x
  3. Step 3: Cross multiply
    354,628.96x = 531,483.84 × 144,022.24
  4. Step 4: Simplify right side
    354,628.96x = 76,545,493,160.60
  5. Step 5: Solve for x
    x = 76,545,493,160.60/354,628.96
  6. Step 6: Final answer
    x = 215,846.71

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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.