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Finding the Fourth Proportional to 494,996.68, 742,507.82 and 158,037.04

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Solution

The fourth proportional to 494,996.68, 742,507.82 and 158,037.04 is: 237,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,996.68 : 742,507.82 = 158,037.04 : x
  2. Step 2: Convert to fraction form
    494,996.68/742,507.82 = 158,037.04/x
  3. Step 3: Cross multiply
    494,996.68x = 742,507.82 × 158,037.04
  4. Step 4: Simplify right side
    494,996.68x = 117,343,738,049.65
  5. Step 5: Solve for x
    x = 117,343,738,049.65/494,996.68
  6. Step 6: Final answer
    x = 237,059.65

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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.