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Finding the Fourth Proportional to 361,757.60, 542,506.80 and 184,205.60

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Solution

The fourth proportional to 361,757.60, 542,506.80 and 184,205.60 is: 276,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,757.60 : 542,506.80 = 184,205.60 : x
  2. Step 2: Convert to fraction form
    361,757.60/542,506.80 = 184,205.60/x
  3. Step 3: Cross multiply
    361,757.60x = 542,506.80 × 184,205.60
  4. Step 4: Simplify right side
    361,757.60x = 99,932,790,598.08
  5. Step 5: Solve for x
    x = 99,932,790,598.08/361,757.60
  6. Step 6: Final answer
    x = 276,242.41

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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.