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Finding the Fourth Proportional to 492,096.90, 738,174.52 and 155,148.24

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Solution

The fourth proportional to 492,096.90, 738,174.52 and 155,148.24 is: 232,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,096.90 : 738,174.52 = 155,148.24 : x
  2. Step 2: Convert to fraction form
    492,096.90/738,174.52 = 155,148.24/x
  3. Step 3: Cross multiply
    492,096.90x = 738,174.52 × 155,148.24
  4. Step 4: Simplify right side
    492,096.90x = 114,526,477,590.85
  5. Step 5: Solve for x
    x = 114,526,477,590.85/492,096.90
  6. Step 6: Final answer
    x = 232,731.56

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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.