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Finding the Fourth Proportional to 492,153.24, 738,171.54 and 159,729.24

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Solution

The fourth proportional to 492,153.24, 738,171.54 and 159,729.24 is: 239,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,153.24 : 738,171.54 = 159,729.24 : x
  2. Step 2: Convert to fraction form
    492,153.24/738,171.54 = 159,729.24/x
  3. Step 3: Cross multiply
    492,153.24x = 738,171.54 × 159,729.24
  4. Step 4: Simplify right side
    492,153.24x = 117,907,579,073.83
  5. Step 5: Solve for x
    x = 117,907,579,073.83/492,153.24
  6. Step 6: Final answer
    x = 239,574.93

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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.