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Finding the Fourth Proportional to 279,464.80, 418,373.52 and 184,520.80

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Solution

The fourth proportional to 279,464.80, 418,373.52 and 184,520.80 is: 276,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,464.80 : 418,373.52 = 184,520.80 : x
  2. Step 2: Convert to fraction form
    279,464.80/418,373.52 = 184,520.80/x
  3. Step 3: Cross multiply
    279,464.80x = 418,373.52 × 184,520.80
  4. Step 4: Simplify right side
    279,464.80x = 77,198,616,609.22
  5. Step 5: Solve for x
    x = 77,198,616,609.22/279,464.80
  6. Step 6: Final answer
    x = 276,237.35

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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.