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Finding the Fourth Proportional to 333,469.40, 499,863.90 and 164,730.20

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Solution

The fourth proportional to 333,469.40, 499,863.90 and 164,730.20 is: 246,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,469.40 : 499,863.90 = 164,730.20 : x
  2. Step 2: Convert to fraction form
    333,469.40/499,863.90 = 164,730.20/x
  3. Step 3: Cross multiply
    333,469.40x = 499,863.90 × 164,730.20
  4. Step 4: Simplify right side
    333,469.40x = 82,342,680,219.78
  5. Step 5: Solve for x
    x = 82,342,680,219.78/333,469.40
  6. Step 6: Final answer
    x = 246,927.24

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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.