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Finding the Fourth Proportional to 454,200, 626,796 and 252,991.68

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Solution

The fourth proportional to 454,200, 626,796 and 252,991.68 is: 349,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,200 : 626,796 = 252,991.68 : x
  2. Step 2: Convert to fraction form
    454,200/626,796 = 252,991.68/x
  3. Step 3: Cross multiply
    454,200x = 626,796 × 252,991.68
  4. Step 4: Simplify right side
    454,200x = 158,574,173,057.28
  5. Step 5: Solve for x
    x = 158,574,173,057.28/454,200
  6. Step 6: Final answer
    x = 349,128.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.