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Finding the Fourth Proportional to 365,892.77, 548,438.78 and 188,410.43

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Solution

The fourth proportional to 365,892.77, 548,438.78 and 188,410.43 is: 282,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,892.77 : 548,438.78 = 188,410.43 : x
  2. Step 2: Convert to fraction form
    365,892.77/548,438.78 = 188,410.43/x
  3. Step 3: Cross multiply
    365,892.77x = 548,438.78 × 188,410.43
  4. Step 4: Simplify right side
    365,892.77x = 103,331,588,210.60
  5. Step 5: Solve for x
    x = 103,331,588,210.60/365,892.77
  6. Step 6: Final answer
    x = 282,409.48

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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.