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Finding the Fourth Proportional to 332,953.68, 499,505.12 and 96,314.64

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Solution

The fourth proportional to 332,953.68, 499,505.12 and 96,314.64 is: 144,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,953.68 : 499,505.12 = 96,314.64 : x
  2. Step 2: Convert to fraction form
    332,953.68/499,505.12 = 96,314.64/x
  3. Step 3: Cross multiply
    332,953.68x = 499,505.12 × 96,314.64
  4. Step 4: Simplify right side
    332,953.68x = 48,109,655,810.96
  5. Step 5: Solve for x
    x = 48,109,655,810.96/332,953.68
  6. Step 6: Final answer
    x = 144,493.54

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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.