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Finding the Fourth Proportional to 490,278.22, 735,445.10 and 174,735.16

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Solution

The fourth proportional to 490,278.22, 735,445.10 and 174,735.16 is: 262,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,278.22 : 735,445.10 = 174,735.16 : x
  2. Step 2: Convert to fraction form
    490,278.22/735,445.10 = 174,735.16/x
  3. Step 3: Cross multiply
    490,278.22x = 735,445.10 × 174,735.16
  4. Step 4: Simplify right side
    490,278.22x = 128,508,115,817.94
  5. Step 5: Solve for x
    x = 128,508,115,817.94/490,278.22
  6. Step 6: Final answer
    x = 262,112.64

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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.