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Finding the Fourth Proportional to 490,033.24, 735,074.96 and 135,039.40

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Solution

The fourth proportional to 490,033.24, 735,074.96 and 135,039.40 is: 202,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,033.24 : 735,074.96 = 135,039.40 : x
  2. Step 2: Convert to fraction form
    490,033.24/735,074.96 = 135,039.40/x
  3. Step 3: Cross multiply
    490,033.24x = 735,074.96 × 135,039.40
  4. Step 4: Simplify right side
    490,033.24x = 99,264,081,553.42
  5. Step 5: Solve for x
    x = 99,264,081,553.42/490,033.24
  6. Step 6: Final answer
    x = 202,566.02

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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.