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Finding the Fourth Proportional to 333,638.50, 499,202.16 and 233,993.20

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Solution

The fourth proportional to 333,638.50, 499,202.16 and 233,993.20 is: 350,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,638.50 : 499,202.16 = 233,993.20 : x
  2. Step 2: Convert to fraction form
    333,638.50/499,202.16 = 233,993.20/x
  3. Step 3: Cross multiply
    333,638.50x = 499,202.16 × 233,993.20
  4. Step 4: Simplify right side
    333,638.50x = 116,809,910,865.31
  5. Step 5: Solve for x
    x = 116,809,910,865.31/333,638.50
  6. Step 6: Final answer
    x = 350,109.21

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1.5x scale

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.