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Finding the Fourth Proportional to 492,467, 738,771.78 and 155,393.24

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Solution

The fourth proportional to 492,467, 738,771.78 and 155,393.24 is: 233,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,467 : 738,771.78 = 155,393.24 : x
  2. Step 2: Convert to fraction form
    492,467/738,771.78 = 155,393.24/x
  3. Step 3: Cross multiply
    492,467x = 738,771.78 × 155,393.24
  4. Step 4: Simplify right side
    492,467x = 114,800,140,514.77
  5. Step 5: Solve for x
    x = 114,800,140,514.77/492,467
  6. Step 6: Final answer
    x = 233,112.35

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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.