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Finding the Fourth Proportional to 454,546.36, 681,918 and 174,063.64

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Solution

The fourth proportional to 454,546.36, 681,918 and 174,063.64 is: 261,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,546.36 : 681,918 = 174,063.64 : x
  2. Step 2: Convert to fraction form
    454,546.36/681,918 = 174,063.64/x
  3. Step 3: Cross multiply
    454,546.36x = 681,918 × 174,063.64
  4. Step 4: Simplify right side
    454,546.36x = 118,697,129,261.52
  5. Step 5: Solve for x
    x = 118,697,129,261.52/454,546.36
  6. Step 6: Final answer
    x = 261,133.16

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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.