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Finding the Fourth Proportional to 385,027.60, 577,530.60 and 174,665.20

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Solution

The fourth proportional to 385,027.60, 577,530.60 and 174,665.20 is: 261,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,027.60 : 577,530.60 = 174,665.20 : x
  2. Step 2: Convert to fraction form
    385,027.60/577,530.60 = 174,665.20/x
  3. Step 3: Cross multiply
    385,027.60x = 577,530.60 × 174,665.20
  4. Step 4: Simplify right side
    385,027.60x = 100,874,497,755.12
  5. Step 5: Solve for x
    x = 100,874,497,755.12/385,027.60
  6. Step 6: Final answer
    x = 261,992.90

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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.