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Finding the Fourth Proportional to 329,644.71, 494,303.46 and 104,975.85

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Solution

The fourth proportional to 329,644.71, 494,303.46 and 104,975.85 is: 157,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,644.71 : 494,303.46 = 104,975.85 : x
  2. Step 2: Convert to fraction form
    329,644.71/494,303.46 = 104,975.85/x
  3. Step 3: Cross multiply
    329,644.71x = 494,303.46 × 104,975.85
  4. Step 4: Simplify right side
    329,644.71x = 51,889,925,871.44
  5. Step 5: Solve for x
    x = 51,889,925,871.44/329,644.71
  6. Step 6: Final answer
    x = 157,411.67

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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.