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Finding the Fourth Proportional to 490,279.22, 735,446.60 and 174,736.16

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Solution

The fourth proportional to 490,279.22, 735,446.60 and 174,736.16 is: 262,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,279.22 : 735,446.60 = 174,736.16 : x
  2. Step 2: Convert to fraction form
    490,279.22/735,446.60 = 174,736.16/x
  3. Step 3: Cross multiply
    490,279.22x = 735,446.60 × 174,736.16
  4. Step 4: Simplify right side
    490,279.22x = 128,509,114,769.06
  5. Step 5: Solve for x
    x = 128,509,114,769.06/490,279.22
  6. Step 6: Final answer
    x = 262,114.14

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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.