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Finding the Fourth Proportional to 384,991.60, 577,476.60 and 174,629.20

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Solution

The fourth proportional to 384,991.60, 577,476.60 and 174,629.20 is: 261,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,991.60 : 577,476.60 = 174,629.20 : x
  2. Step 2: Convert to fraction form
    384,991.60/577,476.60 = 174,629.20/x
  3. Step 3: Cross multiply
    384,991.60x = 577,476.60 × 174,629.20
  4. Step 4: Simplify right side
    384,991.60x = 100,844,276,676.72
  5. Step 5: Solve for x
    x = 100,844,276,676.72/384,991.60
  6. Step 6: Final answer
    x = 261,938.90

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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.