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Finding the Fourth Proportional to 333,257.40, 499,940.64 and 105,568.56

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Solution

The fourth proportional to 333,257.40, 499,940.64 and 105,568.56 is: 158,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,257.40 : 499,940.64 = 105,568.56 : x
  2. Step 2: Convert to fraction form
    333,257.40/499,940.64 = 105,568.56/x
  3. Step 3: Cross multiply
    333,257.40x = 499,940.64 × 105,568.56
  4. Step 4: Simplify right side
    333,257.40x = 52,778,013,450.28
  5. Step 5: Solve for x
    x = 52,778,013,450.28/333,257.40
  6. Step 6: Final answer
    x = 158,370.12

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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.