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Finding the Fourth Proportional to 333,423.43, 499,768.21 and 164,693.95

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Solution

The fourth proportional to 333,423.43, 499,768.21 and 164,693.95 is: 246,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,423.43 : 499,768.21 = 164,693.95 : x
  2. Step 2: Convert to fraction form
    333,423.43/499,768.21 = 164,693.95/x
  3. Step 3: Cross multiply
    333,423.43x = 499,768.21 × 164,693.95
  4. Step 4: Simplify right side
    333,423.43x = 82,308,797,678.75
  5. Step 5: Solve for x
    x = 82,308,797,678.75/333,423.43
  6. Step 6: Final answer
    x = 246,859.67

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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.