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Finding the Fourth Proportional to 383,884.40, 575,999.40 and 184,127.60

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Solution

The fourth proportional to 383,884.40, 575,999.40 and 184,127.60 is: 276,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,884.40 : 575,999.40 = 184,127.60 : x
  2. Step 2: Convert to fraction form
    383,884.40/575,999.40 = 184,127.60/x
  3. Step 3: Cross multiply
    383,884.40x = 575,999.40 × 184,127.60
  4. Step 4: Simplify right side
    383,884.40x = 106,057,387,123.44
  5. Step 5: Solve for x
    x = 106,057,387,123.44/383,884.40
  6. Step 6: Final answer
    x = 276,274.28

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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.