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Finding the Fourth Proportional to 333,057.42, 499,659.84 and 155,467.44

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Solution

The fourth proportional to 333,057.42, 499,659.84 and 155,467.44 is: 233,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,057.42 : 499,659.84 = 155,467.44 : x
  2. Step 2: Convert to fraction form
    333,057.42/499,659.84 = 155,467.44/x
  3. Step 3: Cross multiply
    333,057.42x = 499,659.84 × 155,467.44
  4. Step 4: Simplify right side
    333,057.42x = 77,680,836,195.61
  5. Step 5: Solve for x
    x = 77,680,836,195.61/333,057.42
  6. Step 6: Final answer
    x = 233,235.57

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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.